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Finding the Fourth Proportional to 5,435.27, 8,152.95 and 1,539.68

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Solution

The fourth proportional to 5,435.27, 8,152.95 and 1,539.68 is: 2,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.27 : 8,152.95 = 1,539.68 : x
  2. Step 2: Convert to fraction form
    5,435.27/8,152.95 = 1,539.68/x
  3. Step 3: Cross multiply
    5,435.27x = 8,152.95 × 1,539.68
  4. Step 4: Simplify right side
    5,435.27x = 12,552,899.07
  5. Step 5: Solve for x
    x = 12,552,899.07/5,435.27
  6. Step 6: Final answer
    x = 2,309.53

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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.