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Finding the Fourth Proportional to 4,728.78, 7,088.16 and 2,258.39

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Solution

The fourth proportional to 4,728.78, 7,088.16 and 2,258.39 is: 3,385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.78 : 7,088.16 = 2,258.39 : x
  2. Step 2: Convert to fraction form
    4,728.78/7,088.16 = 2,258.39/x
  3. Step 3: Cross multiply
    4,728.78x = 7,088.16 × 2,258.39
  4. Step 4: Simplify right side
    4,728.78x = 16,007,794.22
  5. Step 5: Solve for x
    x = 16,007,794.22/4,728.78
  6. Step 6: Final answer
    x = 3,385.18

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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.