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Finding the Fourth Proportional to 5,875.57, 8,811.18 and 4,119.68

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Solution

The fourth proportional to 5,875.57, 8,811.18 and 4,119.68 is: 6,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.57 : 8,811.18 = 4,119.68 : x
  2. Step 2: Convert to fraction form
    5,875.57/8,811.18 = 4,119.68/x
  3. Step 3: Cross multiply
    5,875.57x = 8,811.18 × 4,119.68
  4. Step 4: Simplify right side
    5,875.57x = 36,299,242.02
  5. Step 5: Solve for x
    x = 36,299,242.02/5,875.57
  6. Step 6: Final answer
    x = 6,177.99

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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.