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Finding the Fourth Proportional to 3,417.74, 5,120.16 and 1,952.48

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Solution

The fourth proportional to 3,417.74, 5,120.16 and 1,952.48 is: 2,925.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.74 : 5,120.16 = 1,952.48 : x
  2. Step 2: Convert to fraction form
    3,417.74/5,120.16 = 1,952.48/x
  3. Step 3: Cross multiply
    3,417.74x = 5,120.16 × 1,952.48
  4. Step 4: Simplify right side
    3,417.74x = 9,997,010.00
  5. Step 5: Solve for x
    x = 9,997,010.00/3,417.74
  6. Step 6: Final answer
    x = 2,925.04

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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.