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Finding the Fourth Proportional to 5,315.86, 7,957.32 and 4,528.54

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Solution

The fourth proportional to 5,315.86, 7,957.32 and 4,528.54 is: 6,778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.86 : 7,957.32 = 4,528.54 : x
  2. Step 2: Convert to fraction form
    5,315.86/7,957.32 = 4,528.54/x
  3. Step 3: Cross multiply
    5,315.86x = 7,957.32 × 4,528.54
  4. Step 4: Simplify right side
    5,315.86x = 36,035,041.91
  5. Step 5: Solve for x
    x = 36,035,041.91/5,315.86
  6. Step 6: Final answer
    x = 6,778.78

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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.