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Finding the Fourth Proportional to 3,152.29, 4,349.22 and 1,825.95

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Solution

The fourth proportional to 3,152.29, 4,349.22 and 1,825.95 is: 2,519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.29 : 4,349.22 = 1,825.95 : x
  2. Step 2: Convert to fraction form
    3,152.29/4,349.22 = 1,825.95/x
  3. Step 3: Cross multiply
    3,152.29x = 4,349.22 × 1,825.95
  4. Step 4: Simplify right side
    3,152.29x = 7,941,458.26
  5. Step 5: Solve for x
    x = 7,941,458.26/3,152.29
  6. Step 6: Final answer
    x = 2,519.27

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