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Finding the Fourth Proportional to 3,547.31, 5,323.39 and 3,396.65

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Solution

The fourth proportional to 3,547.31, 5,323.39 and 3,396.65 is: 5,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.31 : 5,323.39 = 3,396.65 : x
  2. Step 2: Convert to fraction form
    3,547.31/5,323.39 = 3,396.65/x
  3. Step 3: Cross multiply
    3,547.31x = 5,323.39 × 3,396.65
  4. Step 4: Simplify right side
    3,547.31x = 18,081,657.53
  5. Step 5: Solve for x
    x = 18,081,657.53/3,547.31
  6. Step 6: Final answer
    x = 5,097.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.