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Finding the Fourth Proportional to 5,802.94, 8,008.14 and 3,150.46

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Solution

The fourth proportional to 5,802.94, 8,008.14 and 3,150.46 is: 4,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.94 : 8,008.14 = 3,150.46 : x
  2. Step 2: Convert to fraction form
    5,802.94/8,008.14 = 3,150.46/x
  3. Step 3: Cross multiply
    5,802.94x = 8,008.14 × 3,150.46
  4. Step 4: Simplify right side
    5,802.94x = 25,229,324.74
  5. Step 5: Solve for x
    x = 25,229,324.74/5,802.94
  6. Step 6: Final answer
    x = 4,347.68

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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.