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Finding the Fourth Proportional to 5,279.68, 7,909.80 and 4,696.48

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Solution

The fourth proportional to 5,279.68, 7,909.80 and 4,696.48 is: 7,036.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.68 : 7,909.80 = 4,696.48 : x
  2. Step 2: Convert to fraction form
    5,279.68/7,909.80 = 4,696.48/x
  3. Step 3: Cross multiply
    5,279.68x = 7,909.80 × 4,696.48
  4. Step 4: Simplify right side
    5,279.68x = 37,148,217.50
  5. Step 5: Solve for x
    x = 37,148,217.50/5,279.68
  6. Step 6: Final answer
    x = 7,036.07

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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.