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Finding the Fourth Proportional to 4,944.60, 7,387.85 and 4,772.32

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Solution

The fourth proportional to 4,944.60, 7,387.85 and 4,772.32 is: 7,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.60 : 7,387.85 = 4,772.32 : x
  2. Step 2: Convert to fraction form
    4,944.60/7,387.85 = 4,772.32/x
  3. Step 3: Cross multiply
    4,944.60x = 7,387.85 × 4,772.32
  4. Step 4: Simplify right side
    4,944.60x = 35,257,184.31
  5. Step 5: Solve for x
    x = 35,257,184.31/4,944.60
  6. Step 6: Final answer
    x = 7,130.44

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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.