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Finding the Fourth Proportional to 5,562.84, 8,347.86 and 5,117.88

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Solution

The fourth proportional to 5,562.84, 8,347.86 and 5,117.88 is: 7,680.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.84 : 8,347.86 = 5,117.88 : x
  2. Step 2: Convert to fraction form
    5,562.84/8,347.86 = 5,117.88/x
  3. Step 3: Cross multiply
    5,562.84x = 8,347.86 × 5,117.88
  4. Step 4: Simplify right side
    5,562.84x = 42,723,345.74
  5. Step 5: Solve for x
    x = 42,723,345.74/5,562.84
  6. Step 6: Final answer
    x = 7,680.13

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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.