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Finding the Fourth Proportional to 4,073.59, 6,084.11 and 4,045.04

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Solution

The fourth proportional to 4,073.59, 6,084.11 and 4,045.04 is: 6,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,073.59 : 6,084.11 = 4,045.04 : x
  2. Step 2: Convert to fraction form
    4,073.59/6,084.11 = 4,045.04/x
  3. Step 3: Cross multiply
    4,073.59x = 6,084.11 × 4,045.04
  4. Step 4: Simplify right side
    4,073.59x = 24,610,470.82
  5. Step 5: Solve for x
    x = 24,610,470.82/4,073.59
  6. Step 6: Final answer
    x = 6,041.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.