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Finding the Fourth Proportional to 5,641.88, 7,785.90 and 3,284.17

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Solution

The fourth proportional to 5,641.88, 7,785.90 and 3,284.17 is: 4,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.88 : 7,785.90 = 3,284.17 : x
  2. Step 2: Convert to fraction form
    5,641.88/7,785.90 = 3,284.17/x
  3. Step 3: Cross multiply
    5,641.88x = 7,785.90 × 3,284.17
  4. Step 4: Simplify right side
    5,641.88x = 25,570,199.74
  5. Step 5: Solve for x
    x = 25,570,199.74/5,641.88
  6. Step 6: Final answer
    x = 4,532.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.