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Finding the Fourth Proportional to 4,668.44, 7,002.65 and 3,203.15

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Solution

The fourth proportional to 4,668.44, 7,002.65 and 3,203.15 is: 4,804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.44 : 7,002.65 = 3,203.15 : x
  2. Step 2: Convert to fraction form
    4,668.44/7,002.65 = 3,203.15/x
  3. Step 3: Cross multiply
    4,668.44x = 7,002.65 × 3,203.15
  4. Step 4: Simplify right side
    4,668.44x = 22,430,511.34
  5. Step 5: Solve for x
    x = 22,430,511.34/4,668.44
  6. Step 6: Final answer
    x = 4,804.72

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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.