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Finding the Fourth Proportional to 5,697.68, 8,547.12 and 2,410.34

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Solution

The fourth proportional to 5,697.68, 8,547.12 and 2,410.34 is: 3,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.68 : 8,547.12 = 2,410.34 : x
  2. Step 2: Convert to fraction form
    5,697.68/8,547.12 = 2,410.34/x
  3. Step 3: Cross multiply
    5,697.68x = 8,547.12 × 2,410.34
  4. Step 4: Simplify right side
    5,697.68x = 20,601,422.49
  5. Step 5: Solve for x
    x = 20,601,422.49/5,697.68
  6. Step 6: Final answer
    x = 3,615.76

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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.