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Finding the Fourth Proportional to 3,107.68, 4,663.12 and 1,547.84

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Solution

The fourth proportional to 3,107.68, 4,663.12 and 1,547.84 is: 2,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.68 : 4,663.12 = 1,547.84 : x
  2. Step 2: Convert to fraction form
    3,107.68/4,663.12 = 1,547.84/x
  3. Step 3: Cross multiply
    3,107.68x = 4,663.12 × 1,547.84
  4. Step 4: Simplify right side
    3,107.68x = 7,217,763.66
  5. Step 5: Solve for x
    x = 7,217,763.66/3,107.68
  6. Step 6: Final answer
    x = 2,322.56

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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.