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Finding the Fourth Proportional to 3,547.64, 4,894.42 and 3,542.17

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Solution

The fourth proportional to 3,547.64, 4,894.42 and 3,542.17 is: 4,886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.64 : 4,894.42 = 3,542.17 : x
  2. Step 2: Convert to fraction form
    3,547.64/4,894.42 = 3,542.17/x
  3. Step 3: Cross multiply
    3,547.64x = 4,894.42 × 3,542.17
  4. Step 4: Simplify right side
    3,547.64x = 17,336,867.69
  5. Step 5: Solve for x
    x = 17,336,867.69/3,547.64
  6. Step 6: Final answer
    x = 4,886.87

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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.