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Finding the Fourth Proportional to 5,844.61, 8,773.80 and 4,612.87

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Solution

The fourth proportional to 5,844.61, 8,773.80 and 4,612.87 is: 6,924.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.61 : 8,773.80 = 4,612.87 : x
  2. Step 2: Convert to fraction form
    5,844.61/8,773.80 = 4,612.87/x
  3. Step 3: Cross multiply
    5,844.61x = 8,773.80 × 4,612.87
  4. Step 4: Simplify right side
    5,844.61x = 40,472,398.81
  5. Step 5: Solve for x
    x = 40,472,398.81/5,844.61
  6. Step 6: Final answer
    x = 6,924.74

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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.