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Finding the Fourth Proportional to 3,458.48, 5,187.72 and 1,510.46

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Solution

The fourth proportional to 3,458.48, 5,187.72 and 1,510.46 is: 2,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.48 : 5,187.72 = 1,510.46 : x
  2. Step 2: Convert to fraction form
    3,458.48/5,187.72 = 1,510.46/x
  3. Step 3: Cross multiply
    3,458.48x = 5,187.72 × 1,510.46
  4. Step 4: Simplify right side
    3,458.48x = 7,835,843.55
  5. Step 5: Solve for x
    x = 7,835,843.55/3,458.48
  6. Step 6: Final answer
    x = 2,265.69

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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.