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Finding the Fourth Proportional to 5,318.60, 7,977.67 and 1,423.01

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Solution

The fourth proportional to 5,318.60, 7,977.67 and 1,423.01 is: 2,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.60 : 7,977.67 = 1,423.01 : x
  2. Step 2: Convert to fraction form
    5,318.60/7,977.67 = 1,423.01/x
  3. Step 3: Cross multiply
    5,318.60x = 7,977.67 × 1,423.01
  4. Step 4: Simplify right side
    5,318.60x = 11,352,304.19
  5. Step 5: Solve for x
    x = 11,352,304.19/5,318.60
  6. Step 6: Final answer
    x = 2,134.45

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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.