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Finding the Fourth Proportional to 3,359.34, 5,039.55 and 1,411.65

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Solution

The fourth proportional to 3,359.34, 5,039.55 and 1,411.65 is: 2,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,359.34 : 5,039.55 = 1,411.65 : x
  2. Step 2: Convert to fraction form
    3,359.34/5,039.55 = 1,411.65/x
  3. Step 3: Cross multiply
    3,359.34x = 5,039.55 × 1,411.65
  4. Step 4: Simplify right side
    3,359.34x = 7,114,080.76
  5. Step 5: Solve for x
    x = 7,114,080.76/3,359.34
  6. Step 6: Final answer
    x = 2,117.70

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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.