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Finding the Fourth Proportional to 5,876.66, 8,823.40 and 5,154.96

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Solution

The fourth proportional to 5,876.66, 8,823.40 and 5,154.96 is: 7,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.66 : 8,823.40 = 5,154.96 : x
  2. Step 2: Convert to fraction form
    5,876.66/8,823.40 = 5,154.96/x
  3. Step 3: Cross multiply
    5,876.66x = 8,823.40 × 5,154.96
  4. Step 4: Simplify right side
    5,876.66x = 45,484,274.06
  5. Step 5: Solve for x
    x = 45,484,274.06/5,876.66
  6. Step 6: Final answer
    x = 7,739.82

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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.