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Finding the Fourth Proportional to 5,482.25, 7,565.63 and 2,998.25

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Solution

The fourth proportional to 5,482.25, 7,565.63 and 2,998.25 is: 4,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.25 : 7,565.63 = 2,998.25 : x
  2. Step 2: Convert to fraction form
    5,482.25/7,565.63 = 2,998.25/x
  3. Step 3: Cross multiply
    5,482.25x = 7,565.63 × 2,998.25
  4. Step 4: Simplify right side
    5,482.25x = 22,683,650.15
  5. Step 5: Solve for x
    x = 22,683,650.15/5,482.25
  6. Step 6: Final answer
    x = 4,137.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.