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Finding the Fourth Proportional to 5,157.78, 7,116.51 and 3,482.28

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Solution

The fourth proportional to 5,157.78, 7,116.51 and 3,482.28 is: 4,804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.78 : 7,116.51 = 3,482.28 : x
  2. Step 2: Convert to fraction form
    5,157.78/7,116.51 = 3,482.28/x
  3. Step 3: Cross multiply
    5,157.78x = 7,116.51 × 3,482.28
  4. Step 4: Simplify right side
    5,157.78x = 24,781,680.44
  5. Step 5: Solve for x
    x = 24,781,680.44/5,157.78
  6. Step 6: Final answer
    x = 4,804.72

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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.