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Finding the Fourth Proportional to 5,565.84, 8,308.14 and 5,159.76

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Solution

The fourth proportional to 5,565.84, 8,308.14 and 5,159.76 is: 7,701.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.84 : 8,308.14 = 5,159.76 : x
  2. Step 2: Convert to fraction form
    5,565.84/8,308.14 = 5,159.76/x
  3. Step 3: Cross multiply
    5,565.84x = 8,308.14 × 5,159.76
  4. Step 4: Simplify right side
    5,565.84x = 42,868,008.45
  5. Step 5: Solve for x
    x = 42,868,008.45/5,565.84
  6. Step 6: Final answer
    x = 7,701.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.