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Finding the Fourth Proportional to 5,053.68, 7,580.34 and 1,355.88

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Solution

The fourth proportional to 5,053.68, 7,580.34 and 1,355.88 is: 2,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.68 : 7,580.34 = 1,355.88 : x
  2. Step 2: Convert to fraction form
    5,053.68/7,580.34 = 1,355.88/x
  3. Step 3: Cross multiply
    5,053.68x = 7,580.34 × 1,355.88
  4. Step 4: Simplify right side
    5,053.68x = 10,278,031.40
  5. Step 5: Solve for x
    x = 10,278,031.40/5,053.68
  6. Step 6: Final answer
    x = 2,033.77

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