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Finding the Fourth Proportional to 3,547.64, 4,850.17 and 3,411.56

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Solution

The fourth proportional to 3,547.64, 4,850.17 and 3,411.56 is: 4,664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.64 : 4,850.17 = 3,411.56 : x
  2. Step 2: Convert to fraction form
    3,547.64/4,850.17 = 3,411.56/x
  3. Step 3: Cross multiply
    3,547.64x = 4,850.17 × 3,411.56
  4. Step 4: Simplify right side
    3,547.64x = 16,546,645.97
  5. Step 5: Solve for x
    x = 16,546,645.97/3,547.64
  6. Step 6: Final answer
    x = 4,664.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.