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Finding the Fourth Proportional to 5,838.84, 8,053.92 and 4,659.48

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Solution

The fourth proportional to 5,838.84, 8,053.92 and 4,659.48 is: 6,427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.84 : 8,053.92 = 4,659.48 : x
  2. Step 2: Convert to fraction form
    5,838.84/8,053.92 = 4,659.48/x
  3. Step 3: Cross multiply
    5,838.84x = 8,053.92 × 4,659.48
  4. Step 4: Simplify right side
    5,838.84x = 37,527,079.16
  5. Step 5: Solve for x
    x = 37,527,079.16/5,838.84
  6. Step 6: Final answer
    x = 6,427.15

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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.