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Finding the Fourth Proportional to 5,947.60, 8,207.68 and 3,295

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Solution

The fourth proportional to 5,947.60, 8,207.68 and 3,295 is: 4,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.60 : 8,207.68 = 3,295 : x
  2. Step 2: Convert to fraction form
    5,947.60/8,207.68 = 3,295/x
  3. Step 3: Cross multiply
    5,947.60x = 8,207.68 × 3,295
  4. Step 4: Simplify right side
    5,947.60x = 27,044,305.60
  5. Step 5: Solve for x
    x = 27,044,305.60/5,947.60
  6. Step 6: Final answer
    x = 4,547.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.