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Finding the Fourth Proportional to 3,120, 4,306.08 and 1,878.72

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Solution

The fourth proportional to 3,120, 4,306.08 and 1,878.72 is: 2,592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120 : 4,306.08 = 1,878.72 : x
  2. Step 2: Convert to fraction form
    3,120/4,306.08 = 1,878.72/x
  3. Step 3: Cross multiply
    3,120x = 4,306.08 × 1,878.72
  4. Step 4: Simplify right side
    3,120x = 8,089,918.62
  5. Step 5: Solve for x
    x = 8,089,918.62/3,120
  6. Step 6: Final answer
    x = 2,592.92

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