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Finding the Fourth Proportional to 3,880.95, 5,818.11 and 1,688.01

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Solution

The fourth proportional to 3,880.95, 5,818.11 and 1,688.01 is: 2,530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.95 : 5,818.11 = 1,688.01 : x
  2. Step 2: Convert to fraction form
    3,880.95/5,818.11 = 1,688.01/x
  3. Step 3: Cross multiply
    3,880.95x = 5,818.11 × 1,688.01
  4. Step 4: Simplify right side
    3,880.95x = 9,821,027.86
  5. Step 5: Solve for x
    x = 9,821,027.86/3,880.95
  6. Step 6: Final answer
    x = 2,530.57

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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.