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Finding the Fourth Proportional to 3,644.71, 5,030.35 and 2,152.53

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Solution

The fourth proportional to 3,644.71, 5,030.35 and 2,152.53 is: 2,970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.71 : 5,030.35 = 2,152.53 : x
  2. Step 2: Convert to fraction form
    3,644.71/5,030.35 = 2,152.53/x
  3. Step 3: Cross multiply
    3,644.71x = 5,030.35 × 2,152.53
  4. Step 4: Simplify right side
    3,644.71x = 10,827,979.29
  5. Step 5: Solve for x
    x = 10,827,979.29/3,644.71
  6. Step 6: Final answer
    x = 2,970.88

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