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Finding the Fourth Proportional to 3,434, 5,151.04 and 1,125.60

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Solution

The fourth proportional to 3,434, 5,151.04 and 1,125.60 is: 1,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434 : 5,151.04 = 1,125.60 : x
  2. Step 2: Convert to fraction form
    3,434/5,151.04 = 1,125.60/x
  3. Step 3: Cross multiply
    3,434x = 5,151.04 × 1,125.60
  4. Step 4: Simplify right side
    3,434x = 5,798,010.62
  5. Step 5: Solve for x
    x = 5,798,010.62/3,434
  6. Step 6: Final answer
    x = 1,688.41

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