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Finding the Fourth Proportional to 3,547.46, 5,319.63 and 1,206.83

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Solution

The fourth proportional to 3,547.46, 5,319.63 and 1,206.83 is: 1,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.46 : 5,319.63 = 1,206.83 : x
  2. Step 2: Convert to fraction form
    3,547.46/5,319.63 = 1,206.83/x
  3. Step 3: Cross multiply
    3,547.46x = 5,319.63 × 1,206.83
  4. Step 4: Simplify right side
    3,547.46x = 6,419,862.47
  5. Step 5: Solve for x
    x = 6,419,862.47/3,547.46
  6. Step 6: Final answer
    x = 1,809.71

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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.