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Finding the Fourth Proportional to 5,802.16, 8,016.04 and 3,811.92

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Solution

The fourth proportional to 5,802.16, 8,016.04 and 3,811.92 is: 5,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.16 : 8,016.04 = 3,811.92 : x
  2. Step 2: Convert to fraction form
    5,802.16/8,016.04 = 3,811.92/x
  3. Step 3: Cross multiply
    5,802.16x = 8,016.04 × 3,811.92
  4. Step 4: Simplify right side
    5,802.16x = 30,556,503.20
  5. Step 5: Solve for x
    x = 30,556,503.20/5,802.16
  6. Step 6: Final answer
    x = 5,266.40

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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.