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Finding the Fourth Proportional to 5,052.64, 6,962.16 and 4,721.44

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Solution

The fourth proportional to 5,052.64, 6,962.16 and 4,721.44 is: 6,505.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.64 : 6,962.16 = 4,721.44 : x
  2. Step 2: Convert to fraction form
    5,052.64/6,962.16 = 4,721.44/x
  3. Step 3: Cross multiply
    5,052.64x = 6,962.16 × 4,721.44
  4. Step 4: Simplify right side
    5,052.64x = 32,871,420.71
  5. Step 5: Solve for x
    x = 32,871,420.71/5,052.64
  6. Step 6: Final answer
    x = 6,505.79

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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.