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Finding the Fourth Proportional to 3,547.89, 5,320.83 and 1,356.45

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Solution

The fourth proportional to 3,547.89, 5,320.83 and 1,356.45 is: 2,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.89 : 5,320.83 = 1,356.45 : x
  2. Step 2: Convert to fraction form
    3,547.89/5,320.83 = 1,356.45/x
  3. Step 3: Cross multiply
    3,547.89x = 5,320.83 × 1,356.45
  4. Step 4: Simplify right side
    3,547.89x = 7,217,439.85
  5. Step 5: Solve for x
    x = 7,217,439.85/3,547.89
  6. Step 6: Final answer
    x = 2,034.29

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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.