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Finding the Fourth Proportional to 5,800.68, 8,701.02 and 2,102.90

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Solution

The fourth proportional to 5,800.68, 8,701.02 and 2,102.90 is: 3,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.68 : 8,701.02 = 2,102.90 : x
  2. Step 2: Convert to fraction form
    5,800.68/8,701.02 = 2,102.90/x
  3. Step 3: Cross multiply
    5,800.68x = 8,701.02 × 2,102.90
  4. Step 4: Simplify right side
    5,800.68x = 18,297,374.96
  5. Step 5: Solve for x
    x = 18,297,374.96/5,800.68
  6. Step 6: Final answer
    x = 3,154.35

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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.