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Finding the Fourth Proportional to 5,326.86, 7,989.66 and 1,430.96

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Solution

The fourth proportional to 5,326.86, 7,989.66 and 1,430.96 is: 2,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.86 : 7,989.66 = 1,430.96 : x
  2. Step 2: Convert to fraction form
    5,326.86/7,989.66 = 1,430.96/x
  3. Step 3: Cross multiply
    5,326.86x = 7,989.66 × 1,430.96
  4. Step 4: Simplify right side
    5,326.86x = 11,432,883.87
  5. Step 5: Solve for x
    x = 11,432,883.87/5,326.86
  6. Step 6: Final answer
    x = 2,146.27

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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.