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Finding the Fourth Proportional to 3,451.65, 5,174.34 and 1,258.84

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Solution

The fourth proportional to 3,451.65, 5,174.34 and 1,258.84 is: 1,887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.65 : 5,174.34 = 1,258.84 : x
  2. Step 2: Convert to fraction form
    3,451.65/5,174.34 = 1,258.84/x
  3. Step 3: Cross multiply
    3,451.65x = 5,174.34 × 1,258.84
  4. Step 4: Simplify right side
    3,451.65x = 6,513,666.17
  5. Step 5: Solve for x
    x = 6,513,666.17/3,451.65
  6. Step 6: Final answer
    x = 1,887.12

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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.