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Finding the Fourth Proportional to 3,544.84, 4,892 and 1,951.56

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Solution

The fourth proportional to 3,544.84, 4,892 and 1,951.56 is: 2,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.84 : 4,892 = 1,951.56 : x
  2. Step 2: Convert to fraction form
    3,544.84/4,892 = 1,951.56/x
  3. Step 3: Cross multiply
    3,544.84x = 4,892 × 1,951.56
  4. Step 4: Simplify right side
    3,544.84x = 9,547,031.52
  5. Step 5: Solve for x
    x = 9,547,031.52/3,544.84
  6. Step 6: Final answer
    x = 2,693.22

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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.