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Finding the Fourth Proportional to 4,974.17, 7,490.87 and 4,332.65

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Solution

The fourth proportional to 4,974.17, 7,490.87 and 4,332.65 is: 6,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.17 : 7,490.87 = 4,332.65 : x
  2. Step 2: Convert to fraction form
    4,974.17/7,490.87 = 4,332.65/x
  3. Step 3: Cross multiply
    4,974.17x = 7,490.87 × 4,332.65
  4. Step 4: Simplify right side
    4,974.17x = 32,455,275.04
  5. Step 5: Solve for x
    x = 32,455,275.04/4,974.17
  6. Step 6: Final answer
    x = 6,524.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.