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Finding the Fourth Proportional to 5,488.57, 8,233.08 and 4,570.62

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Solution

The fourth proportional to 5,488.57, 8,233.08 and 4,570.62 is: 6,856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.57 : 8,233.08 = 4,570.62 : x
  2. Step 2: Convert to fraction form
    5,488.57/8,233.08 = 4,570.62/x
  3. Step 3: Cross multiply
    5,488.57x = 8,233.08 × 4,570.62
  4. Step 4: Simplify right side
    5,488.57x = 37,630,280.11
  5. Step 5: Solve for x
    x = 37,630,280.11/5,488.57
  6. Step 6: Final answer
    x = 6,856.12

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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.