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Finding the Fourth Proportional to 4,770.64, 7,153.28 and 2,429.20

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Solution

The fourth proportional to 4,770.64, 7,153.28 and 2,429.20 is: 3,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.64 : 7,153.28 = 2,429.20 : x
  2. Step 2: Convert to fraction form
    4,770.64/7,153.28 = 2,429.20/x
  3. Step 3: Cross multiply
    4,770.64x = 7,153.28 × 2,429.20
  4. Step 4: Simplify right side
    4,770.64x = 17,376,747.78
  5. Step 5: Solve for x
    x = 17,376,747.78/4,770.64
  6. Step 6: Final answer
    x = 3,642.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.