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Finding the Fourth Proportional to 4,669.28, 7,002.48 and 2,446.64

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Solution

The fourth proportional to 4,669.28, 7,002.48 and 2,446.64 is: 3,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.28 : 7,002.48 = 2,446.64 : x
  2. Step 2: Convert to fraction form
    4,669.28/7,002.48 = 2,446.64/x
  3. Step 3: Cross multiply
    4,669.28x = 7,002.48 × 2,446.64
  4. Step 4: Simplify right side
    4,669.28x = 17,132,547.67
  5. Step 5: Solve for x
    x = 17,132,547.67/4,669.28
  6. Step 6: Final answer
    x = 3,669.21

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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.