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Finding the Fourth Proportional to 3,466, 5,197.38 and 1,155.88

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Solution

The fourth proportional to 3,466, 5,197.38 and 1,155.88 is: 1,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466 : 5,197.38 = 1,155.88 : x
  2. Step 2: Convert to fraction form
    3,466/5,197.38 = 1,155.88/x
  3. Step 3: Cross multiply
    3,466x = 5,197.38 × 1,155.88
  4. Step 4: Simplify right side
    3,466x = 6,007,547.59
  5. Step 5: Solve for x
    x = 6,007,547.59/3,466
  6. Step 6: Final answer
    x = 1,733.28

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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.