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Finding the Fourth Proportional to 8,854.64, 13,282.66 and 2,280.90

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Solution

The fourth proportional to 8,854.64, 13,282.66 and 2,280.90 is: 3,421.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,854.64 : 13,282.66 = 2,280.90 : x
  2. Step 2: Convert to fraction form
    8,854.64/13,282.66 = 2,280.90/x
  3. Step 3: Cross multiply
    8,854.64x = 13,282.66 × 2,280.90
  4. Step 4: Simplify right side
    8,854.64x = 30,296,419.19
  5. Step 5: Solve for x
    x = 30,296,419.19/8,854.64
  6. Step 6: Final answer
    x = 3,421.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.