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Finding the Fourth Proportional to 5,384.30, 8,076.42 and 1,488.68

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Solution

The fourth proportional to 5,384.30, 8,076.42 and 1,488.68 is: 2,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.30 : 8,076.42 = 1,488.68 : x
  2. Step 2: Convert to fraction form
    5,384.30/8,076.42 = 1,488.68/x
  3. Step 3: Cross multiply
    5,384.30x = 8,076.42 × 1,488.68
  4. Step 4: Simplify right side
    5,384.30x = 12,023,204.93
  5. Step 5: Solve for x
    x = 12,023,204.93/5,384.30
  6. Step 6: Final answer
    x = 2,233.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.