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Finding the Fourth Proportional to 5,848.79, 8,758.94 and 3,077.78

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Solution

The fourth proportional to 5,848.79, 8,758.94 and 3,077.78 is: 4,609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.79 : 8,758.94 = 3,077.78 : x
  2. Step 2: Convert to fraction form
    5,848.79/8,758.94 = 3,077.78/x
  3. Step 3: Cross multiply
    5,848.79x = 8,758.94 × 3,077.78
  4. Step 4: Simplify right side
    5,848.79x = 26,958,031.17
  5. Step 5: Solve for x
    x = 26,958,031.17/5,848.79
  6. Step 6: Final answer
    x = 4,609.17

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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.