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Finding the Fourth Proportional to 5,959.92, 8,228.40 and 5,588

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Solution

The fourth proportional to 5,959.92, 8,228.40 and 5,588 is: 7,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.92 : 8,228.40 = 5,588 : x
  2. Step 2: Convert to fraction form
    5,959.92/8,228.40 = 5,588/x
  3. Step 3: Cross multiply
    5,959.92x = 8,228.40 × 5,588
  4. Step 4: Simplify right side
    5,959.92x = 45,980,299.20
  5. Step 5: Solve for x
    x = 45,980,299.20/5,959.92
  6. Step 6: Final answer
    x = 7,714.92

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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.