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Finding the Fourth Proportional to 5,326.86, 7,989.74 and 2,365.35

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Solution

The fourth proportional to 5,326.86, 7,989.74 and 2,365.35 is: 3,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.86 : 7,989.74 = 2,365.35 : x
  2. Step 2: Convert to fraction form
    5,326.86/7,989.74 = 2,365.35/x
  3. Step 3: Cross multiply
    5,326.86x = 7,989.74 × 2,365.35
  4. Step 4: Simplify right side
    5,326.86x = 18,898,519.68
  5. Step 5: Solve for x
    x = 18,898,519.68/5,326.86
  6. Step 6: Final answer
    x = 3,547.78

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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.