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Finding the Fourth Proportional to 3,547.92, 5,319.55 and 1,698.97

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Solution

The fourth proportional to 3,547.92, 5,319.55 and 1,698.97 is: 2,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.92 : 5,319.55 = 1,698.97 : x
  2. Step 2: Convert to fraction form
    3,547.92/5,319.55 = 1,698.97/x
  3. Step 3: Cross multiply
    3,547.92x = 5,319.55 × 1,698.97
  4. Step 4: Simplify right side
    3,547.92x = 9,037,755.86
  5. Step 5: Solve for x
    x = 9,037,755.86/3,547.92
  6. Step 6: Final answer
    x = 2,547.34

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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.