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Finding the Fourth Proportional to 3,113.48, 4,671.42 and 1,357.88

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Solution

The fourth proportional to 3,113.48, 4,671.42 and 1,357.88 is: 2,037.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.48 : 4,671.42 = 1,357.88 : x
  2. Step 2: Convert to fraction form
    3,113.48/4,671.42 = 1,357.88/x
  3. Step 3: Cross multiply
    3,113.48x = 4,671.42 × 1,357.88
  4. Step 4: Simplify right side
    3,113.48x = 6,343,227.79
  5. Step 5: Solve for x
    x = 6,343,227.79/3,113.48
  6. Step 6: Final answer
    x = 2,037.34

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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.