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Finding the Fourth Proportional to 5,214.32, 7,828.76 and 4,976.16

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Solution

The fourth proportional to 5,214.32, 7,828.76 and 4,976.16 is: 7,471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.32 : 7,828.76 = 4,976.16 : x
  2. Step 2: Convert to fraction form
    5,214.32/7,828.76 = 4,976.16/x
  3. Step 3: Cross multiply
    5,214.32x = 7,828.76 × 4,976.16
  4. Step 4: Simplify right side
    5,214.32x = 38,957,162.36
  5. Step 5: Solve for x
    x = 38,957,162.36/5,214.32
  6. Step 6: Final answer
    x = 7,471.19

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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.