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Finding the Fourth Proportional to 5,395.50, 7,445.61 and 3,037.50

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Solution

The fourth proportional to 5,395.50, 7,445.61 and 3,037.50 is: 4,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.50 : 7,445.61 = 3,037.50 : x
  2. Step 2: Convert to fraction form
    5,395.50/7,445.61 = 3,037.50/x
  3. Step 3: Cross multiply
    5,395.50x = 7,445.61 × 3,037.50
  4. Step 4: Simplify right side
    5,395.50x = 22,616,040.38
  5. Step 5: Solve for x
    x = 22,616,040.38/5,395.50
  6. Step 6: Final answer
    x = 4,191.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.