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Finding the Fourth Proportional to 5,807.25, 8,014.14 and 3,154.77

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Solution

The fourth proportional to 5,807.25, 8,014.14 and 3,154.77 is: 4,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.25 : 8,014.14 = 3,154.77 : x
  2. Step 2: Convert to fraction form
    5,807.25/8,014.14 = 3,154.77/x
  3. Step 3: Cross multiply
    5,807.25x = 8,014.14 × 3,154.77
  4. Step 4: Simplify right side
    5,807.25x = 25,282,768.45
  5. Step 5: Solve for x
    x = 25,282,768.45/5,807.25
  6. Step 6: Final answer
    x = 4,353.66

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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.