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Finding the Fourth Proportional to 5,275.46, 7,279.56 and 3,412.46

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Solution

The fourth proportional to 5,275.46, 7,279.56 and 3,412.46 is: 4,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.46 : 7,279.56 = 3,412.46 : x
  2. Step 2: Convert to fraction form
    5,275.46/7,279.56 = 3,412.46/x
  3. Step 3: Cross multiply
    5,275.46x = 7,279.56 × 3,412.46
  4. Step 4: Simplify right side
    5,275.46x = 24,841,207.32
  5. Step 5: Solve for x
    x = 24,841,207.32/5,275.46
  6. Step 6: Final answer
    x = 4,708.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.