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Finding the Fourth Proportional to 5,118, 7,057.62 and 4,820.40

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Solution

The fourth proportional to 5,118, 7,057.62 and 4,820.40 is: 6,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118 : 7,057.62 = 4,820.40 : x
  2. Step 2: Convert to fraction form
    5,118/7,057.62 = 4,820.40/x
  3. Step 3: Cross multiply
    5,118x = 7,057.62 × 4,820.40
  4. Step 4: Simplify right side
    5,118x = 34,020,551.45
  5. Step 5: Solve for x
    x = 34,020,551.45/5,118
  6. Step 6: Final answer
    x = 6,647.24

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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.