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Finding the Fourth Proportional to 5,145.66, 7,717.34 and 3,066.26

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Solution

The fourth proportional to 5,145.66, 7,717.34 and 3,066.26 is: 4,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.66 : 7,717.34 = 3,066.26 : x
  2. Step 2: Convert to fraction form
    5,145.66/7,717.34 = 3,066.26/x
  3. Step 3: Cross multiply
    5,145.66x = 7,717.34 × 3,066.26
  4. Step 4: Simplify right side
    5,145.66x = 23,663,340.03
  5. Step 5: Solve for x
    x = 23,663,340.03/5,145.66
  6. Step 6: Final answer
    x = 4,598.70

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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.