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Finding the Fourth Proportional to 4,909.70, 7,356.45 and 4,180.70

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Solution

The fourth proportional to 4,909.70, 7,356.45 and 4,180.70 is: 6,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.70 : 7,356.45 = 4,180.70 : x
  2. Step 2: Convert to fraction form
    4,909.70/7,356.45 = 4,180.70/x
  3. Step 3: Cross multiply
    4,909.70x = 7,356.45 × 4,180.70
  4. Step 4: Simplify right side
    4,909.70x = 30,755,110.52
  5. Step 5: Solve for x
    x = 30,755,110.52/4,909.70
  6. Step 6: Final answer
    x = 6,264.15

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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.