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Finding the Fourth Proportional to 3,002.30, 4,498.05 and 2,570.30

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Solution

The fourth proportional to 3,002.30, 4,498.05 and 2,570.30 is: 3,850.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.30 : 4,498.05 = 2,570.30 : x
  2. Step 2: Convert to fraction form
    3,002.30/4,498.05 = 2,570.30/x
  3. Step 3: Cross multiply
    3,002.30x = 4,498.05 × 2,570.30
  4. Step 4: Simplify right side
    3,002.30x = 11,561,337.92
  5. Step 5: Solve for x
    x = 11,561,337.92/3,002.30
  6. Step 6: Final answer
    x = 3,850.83

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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.