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Finding the Fourth Proportional to 3,368.69, 5,053.85 and 1,147.50

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Solution

The fourth proportional to 3,368.69, 5,053.85 and 1,147.50 is: 1,721.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.69 : 5,053.85 = 1,147.50 : x
  2. Step 2: Convert to fraction form
    3,368.69/5,053.85 = 1,147.50/x
  3. Step 3: Cross multiply
    3,368.69x = 5,053.85 × 1,147.50
  4. Step 4: Simplify right side
    3,368.69x = 5,799,292.88
  5. Step 5: Solve for x
    x = 5,799,292.88/3,368.69
  6. Step 6: Final answer
    x = 1,721.53

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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.