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Finding the Fourth Proportional to 4,365, 6,023.09 and 2,686.68

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Solution

The fourth proportional to 4,365, 6,023.09 and 2,686.68 is: 3,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365 : 6,023.09 = 2,686.68 : x
  2. Step 2: Convert to fraction form
    4,365/6,023.09 = 2,686.68/x
  3. Step 3: Cross multiply
    4,365x = 6,023.09 × 2,686.68
  4. Step 4: Simplify right side
    4,365x = 16,182,122.16
  5. Step 5: Solve for x
    x = 16,182,122.16/4,365
  6. Step 6: Final answer
    x = 3,707.24

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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.