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Finding the Fourth Proportional to 4,568.34, 6,304.32 and 2,472.47

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Solution

The fourth proportional to 4,568.34, 6,304.32 and 2,472.47 is: 3,412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.34 : 6,304.32 = 2,472.47 : x
  2. Step 2: Convert to fraction form
    4,568.34/6,304.32 = 2,472.47/x
  3. Step 3: Cross multiply
    4,568.34x = 6,304.32 × 2,472.47
  4. Step 4: Simplify right side
    4,568.34x = 15,587,242.07
  5. Step 5: Solve for x
    x = 15,587,242.07/4,568.34
  6. Step 6: Final answer
    x = 3,412.01

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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.