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Finding the Fourth Proportional to 5,848.80, 8,775.62 and 3,074.80

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Solution

The fourth proportional to 5,848.80, 8,775.62 and 3,074.80 is: 4,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.80 : 8,775.62 = 3,074.80 : x
  2. Step 2: Convert to fraction form
    5,848.80/8,775.62 = 3,074.80/x
  3. Step 3: Cross multiply
    5,848.80x = 8,775.62 × 3,074.80
  4. Step 4: Simplify right side
    5,848.80x = 26,983,276.38
  5. Step 5: Solve for x
    x = 26,983,276.38/5,848.80
  6. Step 6: Final answer
    x = 4,613.47

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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.