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Finding the Fourth Proportional to 4,668.17, 6,964.62 and 4,498.03

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Solution

The fourth proportional to 4,668.17, 6,964.62 and 4,498.03 is: 6,710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.17 : 6,964.62 = 4,498.03 : x
  2. Step 2: Convert to fraction form
    4,668.17/6,964.62 = 4,498.03/x
  3. Step 3: Cross multiply
    4,668.17x = 6,964.62 × 4,498.03
  4. Step 4: Simplify right side
    4,668.17x = 31,327,061.54
  5. Step 5: Solve for x
    x = 31,327,061.54/4,668.17
  6. Step 6: Final answer
    x = 6,710.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.