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Finding the Fourth Proportional to 4,588.32, 6,877.82 and 1,811.18

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Solution

The fourth proportional to 4,588.32, 6,877.82 and 1,811.18 is: 2,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.32 : 6,877.82 = 1,811.18 : x
  2. Step 2: Convert to fraction form
    4,588.32/6,877.82 = 1,811.18/x
  3. Step 3: Cross multiply
    4,588.32x = 6,877.82 × 1,811.18
  4. Step 4: Simplify right side
    4,588.32x = 12,456,926.58
  5. Step 5: Solve for x
    x = 12,456,926.58/4,588.32
  6. Step 6: Final answer
    x = 2,714.92

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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.