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Finding the Fourth Proportional to 4,773.60, 7,160.40 and 3,477.60

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Solution

The fourth proportional to 4,773.60, 7,160.40 and 3,477.60 is: 5,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.60 : 7,160.40 = 3,477.60 : x
  2. Step 2: Convert to fraction form
    4,773.60/7,160.40 = 3,477.60/x
  3. Step 3: Cross multiply
    4,773.60x = 7,160.40 × 3,477.60
  4. Step 4: Simplify right side
    4,773.60x = 24,901,007.04
  5. Step 5: Solve for x
    x = 24,901,007.04/4,773.60
  6. Step 6: Final answer
    x = 5,216.40

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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.