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Finding the Fourth Proportional to 5,692,734.53, 7,855,838.93 and 3,114,436.49

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Solution

The fourth proportional to 5,692,734.53, 7,855,838.93 and 3,114,436.49 is: 4,297,848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692,734.53 : 7,855,838.93 = 3,114,436.49 : x
  2. Step 2: Convert to fraction form
    5,692,734.53/7,855,838.93 = 3,114,436.49/x
  3. Step 3: Cross multiply
    5,692,734.53x = 7,855,838.93 × 3,114,436.49
  4. Step 4: Simplify right side
    5,692,734.53x = 24,466,511,423,154.55
  5. Step 5: Solve for x
    x = 24,466,511,423,154.55/5,692,734.53
  6. Step 6: Final answer
    x = 4,297,848.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.