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Finding the Fourth Proportional to 5,658.90, 8,488.35 and 5,027.10

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Solution

The fourth proportional to 5,658.90, 8,488.35 and 5,027.10 is: 7,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.90 : 8,488.35 = 5,027.10 : x
  2. Step 2: Convert to fraction form
    5,658.90/8,488.35 = 5,027.10/x
  3. Step 3: Cross multiply
    5,658.90x = 8,488.35 × 5,027.10
  4. Step 4: Simplify right side
    5,658.90x = 42,671,784.29
  5. Step 5: Solve for x
    x = 42,671,784.29/5,658.90
  6. Step 6: Final answer
    x = 7,540.65

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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.