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Finding the Fourth Proportional to 5,668.32, 8,498.16 and 2,203.68

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Solution

The fourth proportional to 5,668.32, 8,498.16 and 2,203.68 is: 3,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.32 : 8,498.16 = 2,203.68 : x
  2. Step 2: Convert to fraction form
    5,668.32/8,498.16 = 2,203.68/x
  3. Step 3: Cross multiply
    5,668.32x = 8,498.16 × 2,203.68
  4. Step 4: Simplify right side
    5,668.32x = 18,727,225.23
  5. Step 5: Solve for x
    x = 18,727,225.23/5,668.32
  6. Step 6: Final answer
    x = 3,303.84

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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.