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Finding the Fourth Proportional to 4,669.43, 7,002.06 and 2,477.66

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Solution

The fourth proportional to 4,669.43, 7,002.06 and 2,477.66 is: 3,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.43 : 7,002.06 = 2,477.66 : x
  2. Step 2: Convert to fraction form
    4,669.43/7,002.06 = 2,477.66/x
  3. Step 3: Cross multiply
    4,669.43x = 7,002.06 × 2,477.66
  4. Step 4: Simplify right side
    4,669.43x = 17,348,688.97
  5. Step 5: Solve for x
    x = 17,348,688.97/4,669.43
  6. Step 6: Final answer
    x = 3,715.38

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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.