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Finding the Fourth Proportional to 3,047.29, 4,569.18 and 1,196.25

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Solution

The fourth proportional to 3,047.29, 4,569.18 and 1,196.25 is: 1,793.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.29 : 4,569.18 = 1,196.25 : x
  2. Step 2: Convert to fraction form
    3,047.29/4,569.18 = 1,196.25/x
  3. Step 3: Cross multiply
    3,047.29x = 4,569.18 × 1,196.25
  4. Step 4: Simplify right side
    3,047.29x = 5,465,881.58
  5. Step 5: Solve for x
    x = 5,465,881.58/3,047.29
  6. Step 6: Final answer
    x = 1,793.69

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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.