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Finding the Fourth Proportional to 5,447, 7,516.98 and 2,963

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Solution

The fourth proportional to 5,447, 7,516.98 and 2,963 is: 4,089.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447 : 7,516.98 = 2,963 : x
  2. Step 2: Convert to fraction form
    5,447/7,516.98 = 2,963/x
  3. Step 3: Cross multiply
    5,447x = 7,516.98 × 2,963
  4. Step 4: Simplify right side
    5,447x = 22,272,811.74
  5. Step 5: Solve for x
    x = 22,272,811.74/5,447
  6. Step 6: Final answer
    x = 4,089.01

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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.