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Finding the Fourth Proportional to 3,547.30, 5,319.60 and 1,081.30

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Solution

The fourth proportional to 3,547.30, 5,319.60 and 1,081.30 is: 1,621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.30 : 5,319.60 = 1,081.30 : x
  2. Step 2: Convert to fraction form
    3,547.30/5,319.60 = 1,081.30/x
  3. Step 3: Cross multiply
    3,547.30x = 5,319.60 × 1,081.30
  4. Step 4: Simplify right side
    3,547.30x = 5,752,083.48
  5. Step 5: Solve for x
    x = 5,752,083.48/3,547.30
  6. Step 6: Final answer
    x = 1,621.54

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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.