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Finding the Fourth Proportional to 5,114.37, 7,657.88 and 2,920.08

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Solution

The fourth proportional to 5,114.37, 7,657.88 and 2,920.08 is: 4,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.37 : 7,657.88 = 2,920.08 : x
  2. Step 2: Convert to fraction form
    5,114.37/7,657.88 = 2,920.08/x
  3. Step 3: Cross multiply
    5,114.37x = 7,657.88 × 2,920.08
  4. Step 4: Simplify right side
    5,114.37x = 22,361,607.63
  5. Step 5: Solve for x
    x = 22,361,607.63/5,114.37
  6. Step 6: Final answer
    x = 4,372.31

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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.