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Finding the Fourth Proportional to 3,148.61, 4,717.44 and 3,072.06

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Solution

The fourth proportional to 3,148.61, 4,717.44 and 3,072.06 is: 4,602.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.61 : 4,717.44 = 3,072.06 : x
  2. Step 2: Convert to fraction form
    3,148.61/4,717.44 = 3,072.06/x
  3. Step 3: Cross multiply
    3,148.61x = 4,717.44 × 3,072.06
  4. Step 4: Simplify right side
    3,148.61x = 14,492,258.73
  5. Step 5: Solve for x
    x = 14,492,258.73/3,148.61
  6. Step 6: Final answer
    x = 4,602.76

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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.