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Finding the Fourth Proportional to 4,159.71, 6,242.73 and 1,529.70

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Solution

The fourth proportional to 4,159.71, 6,242.73 and 1,529.70 is: 2,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.71 : 6,242.73 = 1,529.70 : x
  2. Step 2: Convert to fraction form
    4,159.71/6,242.73 = 1,529.70/x
  3. Step 3: Cross multiply
    4,159.71x = 6,242.73 × 1,529.70
  4. Step 4: Simplify right side
    4,159.71x = 9,549,504.08
  5. Step 5: Solve for x
    x = 9,549,504.08/4,159.71
  6. Step 6: Final answer
    x = 2,295.71

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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.