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Finding the Fourth Proportional to 3,113.90, 4,671.70 and 1,358.57

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Solution

The fourth proportional to 3,113.90, 4,671.70 and 1,358.57 is: 2,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.90 : 4,671.70 = 1,358.57 : x
  2. Step 2: Convert to fraction form
    3,113.90/4,671.70 = 1,358.57/x
  3. Step 3: Cross multiply
    3,113.90x = 4,671.70 × 1,358.57
  4. Step 4: Simplify right side
    3,113.90x = 6,346,839.75
  5. Step 5: Solve for x
    x = 6,346,839.75/3,113.90
  6. Step 6: Final answer
    x = 2,038.23

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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.