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Finding the Fourth Proportional to 4,892.32, 7,295.54 and 4,361.20

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Solution

The fourth proportional to 4,892.32, 7,295.54 and 4,361.20 is: 6,503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.32 : 7,295.54 = 4,361.20 : x
  2. Step 2: Convert to fraction form
    4,892.32/7,295.54 = 4,361.20/x
  3. Step 3: Cross multiply
    4,892.32x = 7,295.54 × 4,361.20
  4. Step 4: Simplify right side
    4,892.32x = 31,817,309.05
  5. Step 5: Solve for x
    x = 31,817,309.05/4,892.32
  6. Step 6: Final answer
    x = 6,503.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.