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Finding the Fourth Proportional to 4,668.32, 6,443.03 and 2,989.64

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Solution

The fourth proportional to 4,668.32, 6,443.03 and 2,989.64 is: 4,126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.32 : 6,443.03 = 2,989.64 : x
  2. Step 2: Convert to fraction form
    4,668.32/6,443.03 = 2,989.64/x
  3. Step 3: Cross multiply
    4,668.32x = 6,443.03 × 2,989.64
  4. Step 4: Simplify right side
    4,668.32x = 19,262,363.79
  5. Step 5: Solve for x
    x = 19,262,363.79/4,668.32
  6. Step 6: Final answer
    x = 4,126.19

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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.