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Finding the Fourth Proportional to 4,159.74, 6,240.66 and 3,420.57

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Solution

The fourth proportional to 4,159.74, 6,240.66 and 3,420.57 is: 5,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.74 : 6,240.66 = 3,420.57 : x
  2. Step 2: Convert to fraction form
    4,159.74/6,240.66 = 3,420.57/x
  3. Step 3: Cross multiply
    4,159.74x = 6,240.66 × 3,420.57
  4. Step 4: Simplify right side
    4,159.74x = 21,346,614.38
  5. Step 5: Solve for x
    x = 21,346,614.38/4,159.74
  6. Step 6: Final answer
    x = 5,131.72

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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.