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Finding the Fourth Proportional to 4,118.76, 6,177.48 and 2,038.20

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Solution

The fourth proportional to 4,118.76, 6,177.48 and 2,038.20 is: 3,056.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.76 : 6,177.48 = 2,038.20 : x
  2. Step 2: Convert to fraction form
    4,118.76/6,177.48 = 2,038.20/x
  3. Step 3: Cross multiply
    4,118.76x = 6,177.48 × 2,038.20
  4. Step 4: Simplify right side
    4,118.76x = 12,590,939.74
  5. Step 5: Solve for x
    x = 12,590,939.74/4,118.76
  6. Step 6: Final answer
    x = 3,056.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.