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Finding the Fourth Proportional to 3,417.66, 5,121.53 and 1,856.34

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Solution

The fourth proportional to 3,417.66, 5,121.53 and 1,856.34 is: 2,781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.66 : 5,121.53 = 1,856.34 : x
  2. Step 2: Convert to fraction form
    3,417.66/5,121.53 = 1,856.34/x
  3. Step 3: Cross multiply
    3,417.66x = 5,121.53 × 1,856.34
  4. Step 4: Simplify right side
    3,417.66x = 9,507,301.00
  5. Step 5: Solve for x
    x = 9,507,301.00/3,417.66
  6. Step 6: Final answer
    x = 2,781.82

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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.