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Finding the Fourth Proportional to 4,254.36, 6,381.54 and 1,332.89

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Solution

The fourth proportional to 4,254.36, 6,381.54 and 1,332.89 is: 1,999.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.36 : 6,381.54 = 1,332.89 : x
  2. Step 2: Convert to fraction form
    4,254.36/6,381.54 = 1,332.89/x
  3. Step 3: Cross multiply
    4,254.36x = 6,381.54 × 1,332.89
  4. Step 4: Simplify right side
    4,254.36x = 8,505,901.81
  5. Step 5: Solve for x
    x = 8,505,901.81/4,254.36
  6. Step 6: Final answer
    x = 1,999.34

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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.