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Finding the Fourth Proportional to 4,143.65, 6,215.48 and 3,411.70

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Solution

The fourth proportional to 4,143.65, 6,215.48 and 3,411.70 is: 5,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.65 : 6,215.48 = 3,411.70 : x
  2. Step 2: Convert to fraction form
    4,143.65/6,215.48 = 3,411.70/x
  3. Step 3: Cross multiply
    4,143.65x = 6,215.48 × 3,411.70
  4. Step 4: Simplify right side
    4,143.65x = 21,205,346.11
  5. Step 5: Solve for x
    x = 21,205,346.11/4,143.65
  6. Step 6: Final answer
    x = 5,117.55

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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.