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Finding the Fourth Proportional to 5,788.38, 8,670.65 and 4,309.12

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Solution

The fourth proportional to 5,788.38, 8,670.65 and 4,309.12 is: 6,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.38 : 8,670.65 = 4,309.12 : x
  2. Step 2: Convert to fraction form
    5,788.38/8,670.65 = 4,309.12/x
  3. Step 3: Cross multiply
    5,788.38x = 8,670.65 × 4,309.12
  4. Step 4: Simplify right side
    5,788.38x = 37,362,811.85
  5. Step 5: Solve for x
    x = 37,362,811.85/5,788.38
  6. Step 6: Final answer
    x = 6,454.80

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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.