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Finding the Fourth Proportional to 4,909.74, 6,772.56 and 3,140.70

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Solution

The fourth proportional to 4,909.74, 6,772.56 and 3,140.70 is: 4,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.74 : 6,772.56 = 3,140.70 : x
  2. Step 2: Convert to fraction form
    4,909.74/6,772.56 = 3,140.70/x
  3. Step 3: Cross multiply
    4,909.74x = 6,772.56 × 3,140.70
  4. Step 4: Simplify right side
    4,909.74x = 21,270,579.19
  5. Step 5: Solve for x
    x = 21,270,579.19/4,909.74
  6. Step 6: Final answer
    x = 4,332.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.