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Finding the Fourth Proportional to 3,347.48, 5,023.53 and 1,156.22

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Solution

The fourth proportional to 3,347.48, 5,023.53 and 1,156.22 is: 1,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.48 : 5,023.53 = 1,156.22 : x
  2. Step 2: Convert to fraction form
    3,347.48/5,023.53 = 1,156.22/x
  3. Step 3: Cross multiply
    3,347.48x = 5,023.53 × 1,156.22
  4. Step 4: Simplify right side
    3,347.48x = 5,808,276.40
  5. Step 5: Solve for x
    x = 5,808,276.40/3,347.48
  6. Step 6: Final answer
    x = 1,735.12

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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.