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Finding the Fourth Proportional to 5,648.90, 8,472.62 and 1,488.94

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Solution

The fourth proportional to 5,648.90, 8,472.62 and 1,488.94 is: 2,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.90 : 8,472.62 = 1,488.94 : x
  2. Step 2: Convert to fraction form
    5,648.90/8,472.62 = 1,488.94/x
  3. Step 3: Cross multiply
    5,648.90x = 8,472.62 × 1,488.94
  4. Step 4: Simplify right side
    5,648.90x = 12,615,205.36
  5. Step 5: Solve for x
    x = 12,615,205.36/5,648.90
  6. Step 6: Final answer
    x = 2,233.22

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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.