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Finding the Fourth Proportional to 5,078.16, 7,616.01 and 1,746.02

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Solution

The fourth proportional to 5,078.16, 7,616.01 and 1,746.02 is: 2,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.16 : 7,616.01 = 1,746.02 : x
  2. Step 2: Convert to fraction form
    5,078.16/7,616.01 = 1,746.02/x
  3. Step 3: Cross multiply
    5,078.16x = 7,616.01 × 1,746.02
  4. Step 4: Simplify right side
    5,078.16x = 13,297,705.78
  5. Step 5: Solve for x
    x = 13,297,705.78/5,078.16
  6. Step 6: Final answer
    x = 2,618.61

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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.