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Finding the Fourth Proportional to 3,547.14, 4,894.96 and 1,975.20

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Solution

The fourth proportional to 3,547.14, 4,894.96 and 1,975.20 is: 2,725.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.14 : 4,894.96 = 1,975.20 : x
  2. Step 2: Convert to fraction form
    3,547.14/4,894.96 = 1,975.20/x
  3. Step 3: Cross multiply
    3,547.14x = 4,894.96 × 1,975.20
  4. Step 4: Simplify right side
    3,547.14x = 9,668,524.99
  5. Step 5: Solve for x
    x = 9,668,524.99/3,547.14
  6. Step 6: Final answer
    x = 2,725.72

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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.