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Finding the Fourth Proportional to 5,665.95, 7,819.50 and 3,148.01

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Solution

The fourth proportional to 5,665.95, 7,819.50 and 3,148.01 is: 4,344.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.95 : 7,819.50 = 3,148.01 : x
  2. Step 2: Convert to fraction form
    5,665.95/7,819.50 = 3,148.01/x
  3. Step 3: Cross multiply
    5,665.95x = 7,819.50 × 3,148.01
  4. Step 4: Simplify right side
    5,665.95x = 24,615,848.45
  5. Step 5: Solve for x
    x = 24,615,848.45/5,665.95
  6. Step 6: Final answer
    x = 4,344.53

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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.