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Finding the Fourth Proportional to 5,911.68, 8,870.98 and 3,281.40

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Solution

The fourth proportional to 5,911.68, 8,870.98 and 3,281.40 is: 4,924.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.68 : 8,870.98 = 3,281.40 : x
  2. Step 2: Convert to fraction form
    5,911.68/8,870.98 = 3,281.40/x
  3. Step 3: Cross multiply
    5,911.68x = 8,870.98 × 3,281.40
  4. Step 4: Simplify right side
    5,911.68x = 29,109,217.37
  5. Step 5: Solve for x
    x = 29,109,217.37/5,911.68
  6. Step 6: Final answer
    x = 4,924.02

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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.