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Finding the Fourth Proportional to 4,462.88, 6,159.12 and 2,600.16

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Solution

The fourth proportional to 4,462.88, 6,159.12 and 2,600.16 is: 3,588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.88 : 6,159.12 = 2,600.16 : x
  2. Step 2: Convert to fraction form
    4,462.88/6,159.12 = 2,600.16/x
  3. Step 3: Cross multiply
    4,462.88x = 6,159.12 × 2,600.16
  4. Step 4: Simplify right side
    4,462.88x = 16,014,697.46
  5. Step 5: Solve for x
    x = 16,014,697.46/4,462.88
  6. Step 6: Final answer
    x = 3,588.42

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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.