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Finding the Fourth Proportional to 3,547.44, 5,320.96 and 1,356.39

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Solution

The fourth proportional to 3,547.44, 5,320.96 and 1,356.39 is: 2,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.44 : 5,320.96 = 1,356.39 : x
  2. Step 2: Convert to fraction form
    3,547.44/5,320.96 = 1,356.39/x
  3. Step 3: Cross multiply
    3,547.44x = 5,320.96 × 1,356.39
  4. Step 4: Simplify right side
    3,547.44x = 7,217,293.54
  5. Step 5: Solve for x
    x = 7,217,293.54/3,547.44
  6. Step 6: Final answer
    x = 2,034.51

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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.