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Finding the Fourth Proportional to 4,967.16, 7,454.15 and 2,045.46

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Solution

The fourth proportional to 4,967.16, 7,454.15 and 2,045.46 is: 3,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.16 : 7,454.15 = 2,045.46 : x
  2. Step 2: Convert to fraction form
    4,967.16/7,454.15 = 2,045.46/x
  3. Step 3: Cross multiply
    4,967.16x = 7,454.15 × 2,045.46
  4. Step 4: Simplify right side
    4,967.16x = 15,247,175.84
  5. Step 5: Solve for x
    x = 15,247,175.84/4,967.16
  6. Step 6: Final answer
    x = 3,069.60

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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.