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Finding the Fourth Proportional to 5,697.34, 8,546.93 and 2,410.47

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Solution

The fourth proportional to 5,697.34, 8,546.93 and 2,410.47 is: 3,616.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.34 : 8,546.93 = 2,410.47 : x
  2. Step 2: Convert to fraction form
    5,697.34/8,546.93 = 2,410.47/x
  3. Step 3: Cross multiply
    5,697.34x = 8,546.93 × 2,410.47
  4. Step 4: Simplify right side
    5,697.34x = 20,602,069.04
  5. Step 5: Solve for x
    x = 20,602,069.04/5,697.34
  6. Step 6: Final answer
    x = 3,616.08

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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.