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Finding the Fourth Proportional to 5,802.60, 8,007.55 and 3,149.96

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Solution

The fourth proportional to 5,802.60, 8,007.55 and 3,149.96 is: 4,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.60 : 8,007.55 = 3,149.96 : x
  2. Step 2: Convert to fraction form
    5,802.60/8,007.55 = 3,149.96/x
  3. Step 3: Cross multiply
    5,802.60x = 8,007.55 × 3,149.96
  4. Step 4: Simplify right side
    5,802.60x = 25,223,434.30
  5. Step 5: Solve for x
    x = 25,223,434.30/5,802.60
  6. Step 6: Final answer
    x = 4,346.92

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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.