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Finding the Fourth Proportional to 4,902, 6,753.96 and 4,772.40

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Solution

The fourth proportional to 4,902, 6,753.96 and 4,772.40 is: 6,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902 : 6,753.96 = 4,772.40 : x
  2. Step 2: Convert to fraction form
    4,902/6,753.96 = 4,772.40/x
  3. Step 3: Cross multiply
    4,902x = 6,753.96 × 4,772.40
  4. Step 4: Simplify right side
    4,902x = 32,232,598.70
  5. Step 5: Solve for x
    x = 32,232,598.70/4,902
  6. Step 6: Final answer
    x = 6,575.40

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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.