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Finding the Fourth Proportional to 5,718.24, 7,881.74 and 3,829.16

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Solution

The fourth proportional to 5,718.24, 7,881.74 and 3,829.16 is: 5,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.24 : 7,881.74 = 3,829.16 : x
  2. Step 2: Convert to fraction form
    5,718.24/7,881.74 = 3,829.16/x
  3. Step 3: Cross multiply
    5,718.24x = 7,881.74 × 3,829.16
  4. Step 4: Simplify right side
    5,718.24x = 30,180,384.98
  5. Step 5: Solve for x
    x = 30,180,384.98/5,718.24
  6. Step 6: Final answer
    x = 5,277.92

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Why These Related Problems?

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