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Finding the Fourth Proportional to 3,347.85, 5,024.09 and 1,156.60

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Solution

The fourth proportional to 3,347.85, 5,024.09 and 1,156.60 is: 1,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.85 : 5,024.09 = 1,156.60 : x
  2. Step 2: Convert to fraction form
    3,347.85/5,024.09 = 1,156.60/x
  3. Step 3: Cross multiply
    3,347.85x = 5,024.09 × 1,156.60
  4. Step 4: Simplify right side
    3,347.85x = 5,810,844.15
  5. Step 5: Solve for x
    x = 5,810,844.15/3,347.85
  6. Step 6: Final answer
    x = 1,735.69

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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.