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Finding the Fourth Proportional to 5,535.40, 8,304.12 and 1,586.50

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Solution

The fourth proportional to 5,535.40, 8,304.12 and 1,586.50 is: 2,380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535.40 : 8,304.12 = 1,586.50 : x
  2. Step 2: Convert to fraction form
    5,535.40/8,304.12 = 1,586.50/x
  3. Step 3: Cross multiply
    5,535.40x = 8,304.12 × 1,586.50
  4. Step 4: Simplify right side
    5,535.40x = 13,174,486.38
  5. Step 5: Solve for x
    x = 13,174,486.38/5,535.40
  6. Step 6: Final answer
    x = 2,380.04

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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.