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Finding the Fourth Proportional to 3,547.38, 5,320.97 and 950.32

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Solution

The fourth proportional to 3,547.38, 5,320.97 and 950.32 is: 1,425.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.38 : 5,320.97 = 950.32 : x
  2. Step 2: Convert to fraction form
    3,547.38/5,320.97 = 950.32/x
  3. Step 3: Cross multiply
    3,547.38x = 5,320.97 × 950.32
  4. Step 4: Simplify right side
    3,547.38x = 5,056,624.21
  5. Step 5: Solve for x
    x = 5,056,624.21/3,547.38
  6. Step 6: Final answer
    x = 1,425.45

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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.