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Finding the Fourth Proportional to 3,547.84, 4,896.12 and 1,975.92

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Solution

The fourth proportional to 3,547.84, 4,896.12 and 1,975.92 is: 2,726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.84 : 4,896.12 = 1,975.92 : x
  2. Step 2: Convert to fraction form
    3,547.84/4,896.12 = 1,975.92/x
  3. Step 3: Cross multiply
    3,547.84x = 4,896.12 × 1,975.92
  4. Step 4: Simplify right side
    3,547.84x = 9,674,341.43
  5. Step 5: Solve for x
    x = 9,674,341.43/3,547.84
  6. Step 6: Final answer
    x = 2,726.83

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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.