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Finding the Fourth Proportional to 5,318.90, 7,977.73 and 1,423.61

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Solution

The fourth proportional to 5,318.90, 7,977.73 and 1,423.61 is: 2,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.90 : 7,977.73 = 1,423.61 : x
  2. Step 2: Convert to fraction form
    5,318.90/7,977.73 = 1,423.61/x
  3. Step 3: Cross multiply
    5,318.90x = 7,977.73 × 1,423.61
  4. Step 4: Simplify right side
    5,318.90x = 11,357,176.21
  5. Step 5: Solve for x
    x = 11,357,176.21/5,318.90
  6. Step 6: Final answer
    x = 2,135.25

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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.