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Finding the Fourth Proportional to 4,668.30, 6,443.90 and 4,170.07

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Solution

The fourth proportional to 4,668.30, 6,443.90 and 4,170.07 is: 5,756.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.30 : 6,443.90 = 4,170.07 : x
  2. Step 2: Convert to fraction form
    4,668.30/6,443.90 = 4,170.07/x
  3. Step 3: Cross multiply
    4,668.30x = 6,443.90 × 4,170.07
  4. Step 4: Simplify right side
    4,668.30x = 26,871,540.61
  5. Step 5: Solve for x
    x = 26,871,540.61/4,668.30
  6. Step 6: Final answer
    x = 5,756.18

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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.