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Finding the Fourth Proportional to 5,697.16, 8,548.38 and 2,411.02

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Solution

The fourth proportional to 5,697.16, 8,548.38 and 2,411.02 is: 3,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.16 : 8,548.38 = 2,411.02 : x
  2. Step 2: Convert to fraction form
    5,697.16/8,548.38 = 2,411.02/x
  3. Step 3: Cross multiply
    5,697.16x = 8,548.38 × 2,411.02
  4. Step 4: Simplify right side
    5,697.16x = 20,610,315.15
  5. Step 5: Solve for x
    x = 20,610,315.15/5,697.16
  6. Step 6: Final answer
    x = 3,617.65

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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.