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Finding the Fourth Proportional to 3,878.76, 5,353.20 and 2,307.72

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Solution

The fourth proportional to 3,878.76, 5,353.20 and 2,307.72 is: 3,184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.76 : 5,353.20 = 2,307.72 : x
  2. Step 2: Convert to fraction form
    3,878.76/5,353.20 = 2,307.72/x
  3. Step 3: Cross multiply
    3,878.76x = 5,353.20 × 2,307.72
  4. Step 4: Simplify right side
    3,878.76x = 12,353,686.70
  5. Step 5: Solve for x
    x = 12,353,686.70/3,878.76
  6. Step 6: Final answer
    x = 3,184.96

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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.