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Finding the Fourth Proportional to 5,845.87, 8,719.52 and 5,670.81

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Solution

The fourth proportional to 5,845.87, 8,719.52 and 5,670.81 is: 8,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.87 : 8,719.52 = 5,670.81 : x
  2. Step 2: Convert to fraction form
    5,845.87/8,719.52 = 5,670.81/x
  3. Step 3: Cross multiply
    5,845.87x = 8,719.52 × 5,670.81
  4. Step 4: Simplify right side
    5,845.87x = 49,446,712.86
  5. Step 5: Solve for x
    x = 49,446,712.86/5,845.87
  6. Step 6: Final answer
    x = 8,458.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.