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Finding the Fourth Proportional to 4,114.74, 5,672.60 and 3,482.76

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Solution

The fourth proportional to 4,114.74, 5,672.60 and 3,482.76 is: 4,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.74 : 5,672.60 = 3,482.76 : x
  2. Step 2: Convert to fraction form
    4,114.74/5,672.60 = 3,482.76/x
  3. Step 3: Cross multiply
    4,114.74x = 5,672.60 × 3,482.76
  4. Step 4: Simplify right side
    4,114.74x = 19,756,304.38
  5. Step 5: Solve for x
    x = 19,756,304.38/4,114.74
  6. Step 6: Final answer
    x = 4,801.35

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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.