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Finding the Fourth Proportional to 5,079.09, 7,616.74 and 1,746.40

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Solution

The fourth proportional to 5,079.09, 7,616.74 and 1,746.40 is: 2,618.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,079.09 : 7,616.74 = 1,746.40 : x
  2. Step 2: Convert to fraction form
    5,079.09/7,616.74 = 1,746.40/x
  3. Step 3: Cross multiply
    5,079.09x = 7,616.74 × 1,746.40
  4. Step 4: Simplify right side
    5,079.09x = 13,301,848.36
  5. Step 5: Solve for x
    x = 13,301,848.36/5,079.09
  6. Step 6: Final answer
    x = 2,618.94

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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.