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Finding the Fourth Proportional to 5,902.76, 8,854.06 and 2,009.88

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Solution

The fourth proportional to 5,902.76, 8,854.06 and 2,009.88 is: 3,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.76 : 8,854.06 = 2,009.88 : x
  2. Step 2: Convert to fraction form
    5,902.76/8,854.06 = 2,009.88/x
  3. Step 3: Cross multiply
    5,902.76x = 8,854.06 × 2,009.88
  4. Step 4: Simplify right side
    5,902.76x = 17,795,598.11
  5. Step 5: Solve for x
    x = 17,795,598.11/5,902.76
  6. Step 6: Final answer
    x = 3,014.79

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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.