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Finding the Fourth Proportional to 5,341.92, 7,367.04 and 4,208.16

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Solution

The fourth proportional to 5,341.92, 7,367.04 and 4,208.16 is: 5,803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341.92 : 7,367.04 = 4,208.16 : x
  2. Step 2: Convert to fraction form
    5,341.92/7,367.04 = 4,208.16/x
  3. Step 3: Cross multiply
    5,341.92x = 7,367.04 × 4,208.16
  4. Step 4: Simplify right side
    5,341.92x = 31,001,683.05
  5. Step 5: Solve for x
    x = 31,001,683.05/5,341.92
  6. Step 6: Final answer
    x = 5,803.47

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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.