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Finding the Fourth Proportional to 4,668.30, 6,998.76 and 3,203.10

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Solution

The fourth proportional to 4,668.30, 6,998.76 and 3,203.10 is: 4,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.30 : 6,998.76 = 3,203.10 : x
  2. Step 2: Convert to fraction form
    4,668.30/6,998.76 = 3,203.10/x
  3. Step 3: Cross multiply
    4,668.30x = 6,998.76 × 3,203.10
  4. Step 4: Simplify right side
    4,668.30x = 22,417,728.16
  5. Step 5: Solve for x
    x = 22,417,728.16/4,668.30
  6. Step 6: Final answer
    x = 4,802.12

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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.