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Finding the Fourth Proportional to 3,113.55, 4,671.72 and 1,165.89

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Solution

The fourth proportional to 3,113.55, 4,671.72 and 1,165.89 is: 1,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.55 : 4,671.72 = 1,165.89 : x
  2. Step 2: Convert to fraction form
    3,113.55/4,671.72 = 1,165.89/x
  3. Step 3: Cross multiply
    3,113.55x = 4,671.72 × 1,165.89
  4. Step 4: Simplify right side
    3,113.55x = 5,446,711.63
  5. Step 5: Solve for x
    x = 5,446,711.63/3,113.55
  6. Step 6: Final answer
    x = 1,749.36

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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.