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Finding the Fourth Proportional to 5,137.66, 7,697.64 and 3,468.10

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Solution

The fourth proportional to 5,137.66, 7,697.64 and 3,468.10 is: 5,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.66 : 7,697.64 = 3,468.10 : x
  2. Step 2: Convert to fraction form
    5,137.66/7,697.64 = 3,468.10/x
  3. Step 3: Cross multiply
    5,137.66x = 7,697.64 × 3,468.10
  4. Step 4: Simplify right side
    5,137.66x = 26,696,219.86
  5. Step 5: Solve for x
    x = 26,696,219.86/5,137.66
  6. Step 6: Final answer
    x = 5,196.19

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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.