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Finding the Fourth Proportional to 6,432.81, 8,875.98 and 3,637.77

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Solution

The fourth proportional to 6,432.81, 8,875.98 and 3,637.77 is: 5,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.81 : 8,875.98 = 3,637.77 : x
  2. Step 2: Convert to fraction form
    6,432.81/8,875.98 = 3,637.77/x
  3. Step 3: Cross multiply
    6,432.81x = 8,875.98 × 3,637.77
  4. Step 4: Simplify right side
    6,432.81x = 32,288,773.76
  5. Step 5: Solve for x
    x = 32,288,773.76/6,432.81
  6. Step 6: Final answer
    x = 5,019.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.