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Finding the Fourth Proportional to 3,247.86, 4,875.42 and 1,301.42

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Solution

The fourth proportional to 3,247.86, 4,875.42 and 1,301.42 is: 1,953.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.86 : 4,875.42 = 1,301.42 : x
  2. Step 2: Convert to fraction form
    3,247.86/4,875.42 = 1,301.42/x
  3. Step 3: Cross multiply
    3,247.86x = 4,875.42 × 1,301.42
  4. Step 4: Simplify right side
    3,247.86x = 6,344,969.10
  5. Step 5: Solve for x
    x = 6,344,969.10/3,247.86
  6. Step 6: Final answer
    x = 1,953.58

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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.