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Finding the Fourth Proportional to 4,597.53, 6,894.40 and 1,823.82

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Solution

The fourth proportional to 4,597.53, 6,894.40 and 1,823.82 is: 2,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.53 : 6,894.40 = 1,823.82 : x
  2. Step 2: Convert to fraction form
    4,597.53/6,894.40 = 1,823.82/x
  3. Step 3: Cross multiply
    4,597.53x = 6,894.40 × 1,823.82
  4. Step 4: Simplify right side
    4,597.53x = 12,574,144.61
  5. Step 5: Solve for x
    x = 12,574,144.61/4,597.53
  6. Step 6: Final answer
    x = 2,734.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.