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Finding the Fourth Proportional to 5,233.60, 7,850.40 and 4,952.80

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Solution

The fourth proportional to 5,233.60, 7,850.40 and 4,952.80 is: 7,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.60 : 7,850.40 = 4,952.80 : x
  2. Step 2: Convert to fraction form
    5,233.60/7,850.40 = 4,952.80/x
  3. Step 3: Cross multiply
    5,233.60x = 7,850.40 × 4,952.80
  4. Step 4: Simplify right side
    5,233.60x = 38,881,461.12
  5. Step 5: Solve for x
    x = 38,881,461.12/5,233.60
  6. Step 6: Final answer
    x = 7,429.20

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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.