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Finding the Fourth Proportional to 5,112.96, 7,632.06 and 4,737.36

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Solution

The fourth proportional to 5,112.96, 7,632.06 and 4,737.36 is: 7,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.96 : 7,632.06 = 4,737.36 : x
  2. Step 2: Convert to fraction form
    5,112.96/7,632.06 = 4,737.36/x
  3. Step 3: Cross multiply
    5,112.96x = 7,632.06 × 4,737.36
  4. Step 4: Simplify right side
    5,112.96x = 36,155,815.76
  5. Step 5: Solve for x
    x = 36,155,815.76/5,112.96
  6. Step 6: Final answer
    x = 7,071.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.