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Finding the Fourth Proportional to 3,352.86, 5,029.29 and 1,160.40

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Solution

The fourth proportional to 3,352.86, 5,029.29 and 1,160.40 is: 1,740.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352.86 : 5,029.29 = 1,160.40 : x
  2. Step 2: Convert to fraction form
    3,352.86/5,029.29 = 1,160.40/x
  3. Step 3: Cross multiply
    3,352.86x = 5,029.29 × 1,160.40
  4. Step 4: Simplify right side
    3,352.86x = 5,835,988.12
  5. Step 5: Solve for x
    x = 5,835,988.12/3,352.86
  6. Step 6: Final answer
    x = 1,740.60

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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.