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Finding the Fourth Proportional to 4,468.68, 6,700.68 and 2,002.14

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Solution

The fourth proportional to 4,468.68, 6,700.68 and 2,002.14 is: 3,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.68 : 6,700.68 = 2,002.14 : x
  2. Step 2: Convert to fraction form
    4,468.68/6,700.68 = 2,002.14/x
  3. Step 3: Cross multiply
    4,468.68x = 6,700.68 × 2,002.14
  4. Step 4: Simplify right side
    4,468.68x = 13,415,699.46
  5. Step 5: Solve for x
    x = 13,415,699.46/4,468.68
  6. Step 6: Final answer
    x = 3,002.16

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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.