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Finding the Fourth Proportional to 4,695.68, 6,477.42 and 3,015.20

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Solution

The fourth proportional to 4,695.68, 6,477.42 and 3,015.20 is: 4,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.68 : 6,477.42 = 3,015.20 : x
  2. Step 2: Convert to fraction form
    4,695.68/6,477.42 = 3,015.20/x
  3. Step 3: Cross multiply
    4,695.68x = 6,477.42 × 3,015.20
  4. Step 4: Simplify right side
    4,695.68x = 19,530,716.78
  5. Step 5: Solve for x
    x = 19,530,716.78/4,695.68
  6. Step 6: Final answer
    x = 4,159.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.