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Finding the Fourth Proportional to 3,515.65, 5,264.33 and 3,411.77

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Solution

The fourth proportional to 3,515.65, 5,264.33 and 3,411.77 is: 5,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.65 : 5,264.33 = 3,411.77 : x
  2. Step 2: Convert to fraction form
    3,515.65/5,264.33 = 3,411.77/x
  3. Step 3: Cross multiply
    3,515.65x = 5,264.33 × 3,411.77
  4. Step 4: Simplify right side
    3,515.65x = 17,960,639.78
  5. Step 5: Solve for x
    x = 17,960,639.78/3,515.65
  6. Step 6: Final answer
    x = 5,108.77

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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.