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Finding the Fourth Proportional to 5,141.54, 7,088.06 and 3,648.92

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Solution

The fourth proportional to 5,141.54, 7,088.06 and 3,648.92 is: 5,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.54 : 7,088.06 = 3,648.92 : x
  2. Step 2: Convert to fraction form
    5,141.54/7,088.06 = 3,648.92/x
  3. Step 3: Cross multiply
    5,141.54x = 7,088.06 × 3,648.92
  4. Step 4: Simplify right side
    5,141.54x = 25,863,717.05
  5. Step 5: Solve for x
    x = 25,863,717.05/5,141.54
  6. Step 6: Final answer
    x = 5,030.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.