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Finding the Fourth Proportional to 3,777.76, 5,657.20 and 2,386.96

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Solution

The fourth proportional to 3,777.76, 5,657.20 and 2,386.96 is: 3,574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.76 : 5,657.20 = 2,386.96 : x
  2. Step 2: Convert to fraction form
    3,777.76/5,657.20 = 2,386.96/x
  3. Step 3: Cross multiply
    3,777.76x = 5,657.20 × 2,386.96
  4. Step 4: Simplify right side
    3,777.76x = 13,503,510.11
  5. Step 5: Solve for x
    x = 13,503,510.11/3,777.76
  6. Step 6: Final answer
    x = 3,574.48

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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.