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Finding the Fourth Proportional to 5,848.62, 8,776.72 and 3,074.47

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Solution

The fourth proportional to 5,848.62, 8,776.72 and 3,074.47 is: 4,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.62 : 8,776.72 = 3,074.47 : x
  2. Step 2: Convert to fraction form
    5,848.62/8,776.72 = 3,074.47/x
  3. Step 3: Cross multiply
    5,848.62x = 8,776.72 × 3,074.47
  4. Step 4: Simplify right side
    5,848.62x = 26,983,744.24
  5. Step 5: Solve for x
    x = 26,983,744.24/5,848.62
  6. Step 6: Final answer
    x = 4,613.70

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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.