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Finding the Fourth Proportional to 5,807.34, 8,014.30 and 3,154.93

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Solution

The fourth proportional to 5,807.34, 8,014.30 and 3,154.93 is: 4,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.34 : 8,014.30 = 3,154.93 : x
  2. Step 2: Convert to fraction form
    5,807.34/8,014.30 = 3,154.93/x
  3. Step 3: Cross multiply
    5,807.34x = 8,014.30 × 3,154.93
  4. Step 4: Simplify right side
    5,807.34x = 25,284,527.58
  5. Step 5: Solve for x
    x = 25,284,527.58/5,807.34
  6. Step 6: Final answer
    x = 4,353.89

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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.