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Finding the Fourth Proportional to 3,951.74, 5,927.61 and 1,030.04

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Solution

The fourth proportional to 3,951.74, 5,927.61 and 1,030.04 is: 1,545.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.74 : 5,927.61 = 1,030.04 : x
  2. Step 2: Convert to fraction form
    3,951.74/5,927.61 = 1,030.04/x
  3. Step 3: Cross multiply
    3,951.74x = 5,927.61 × 1,030.04
  4. Step 4: Simplify right side
    3,951.74x = 6,105,645.77
  5. Step 5: Solve for x
    x = 6,105,645.77/3,951.74
  6. Step 6: Final answer
    x = 1,545.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.