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Finding the Fourth Proportional to 5,909.50, 8,864.30 and 1,527

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Solution

The fourth proportional to 5,909.50, 8,864.30 and 1,527 is: 2,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.50 : 8,864.30 = 1,527 : x
  2. Step 2: Convert to fraction form
    5,909.50/8,864.30 = 1,527/x
  3. Step 3: Cross multiply
    5,909.50x = 8,864.30 × 1,527
  4. Step 4: Simplify right side
    5,909.50x = 13,535,786.10
  5. Step 5: Solve for x
    x = 13,535,786.10/5,909.50
  6. Step 6: Final answer
    x = 2,290.51

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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.