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Finding the Fourth Proportional to 5,877.78, 8,808.38 and 3,246.47

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Solution

The fourth proportional to 5,877.78, 8,808.38 and 3,246.47 is: 4,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.78 : 8,808.38 = 3,246.47 : x
  2. Step 2: Convert to fraction form
    5,877.78/8,808.38 = 3,246.47/x
  3. Step 3: Cross multiply
    5,877.78x = 8,808.38 × 3,246.47
  4. Step 4: Simplify right side
    5,877.78x = 28,596,141.42
  5. Step 5: Solve for x
    x = 28,596,141.42/5,877.78
  6. Step 6: Final answer
    x = 4,865.13

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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.