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Finding the Fourth Proportional to 4,805.10, 7,207.65 and 4,772.70

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Solution

The fourth proportional to 4,805.10, 7,207.65 and 4,772.70 is: 7,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.10 : 7,207.65 = 4,772.70 : x
  2. Step 2: Convert to fraction form
    4,805.10/7,207.65 = 4,772.70/x
  3. Step 3: Cross multiply
    4,805.10x = 7,207.65 × 4,772.70
  4. Step 4: Simplify right side
    4,805.10x = 34,399,951.16
  5. Step 5: Solve for x
    x = 34,399,951.16/4,805.10
  6. Step 6: Final answer
    x = 7,159.05

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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.