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Finding the Fourth Proportional to 5,802.40, 8,695.20 and 3,023.04

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Solution

The fourth proportional to 5,802.40, 8,695.20 and 3,023.04 is: 4,530.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.40 : 8,695.20 = 3,023.04 : x
  2. Step 2: Convert to fraction form
    5,802.40/8,695.20 = 3,023.04/x
  3. Step 3: Cross multiply
    5,802.40x = 8,695.20 × 3,023.04
  4. Step 4: Simplify right side
    5,802.40x = 26,285,937.41
  5. Step 5: Solve for x
    x = 26,285,937.41/5,802.40
  6. Step 6: Final answer
    x = 4,530.18

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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.