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Finding the Fourth Proportional to 5,658.48, 8,478.50 and 2,881.35

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Solution

The fourth proportional to 5,658.48, 8,478.50 and 2,881.35 is: 4,317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.48 : 8,478.50 = 2,881.35 : x
  2. Step 2: Convert to fraction form
    5,658.48/8,478.50 = 2,881.35/x
  3. Step 3: Cross multiply
    5,658.48x = 8,478.50 × 2,881.35
  4. Step 4: Simplify right side
    5,658.48x = 24,429,511.57
  5. Step 5: Solve for x
    x = 24,429,511.57/5,658.48
  6. Step 6: Final answer
    x = 4,317.33

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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.