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Finding the Fourth Proportional to 6,274.72, 8,658 and 3,916.48

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Solution

The fourth proportional to 6,274.72, 8,658 and 3,916.48 is: 5,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.72 : 8,658 = 3,916.48 : x
  2. Step 2: Convert to fraction form
    6,274.72/8,658 = 3,916.48/x
  3. Step 3: Cross multiply
    6,274.72x = 8,658 × 3,916.48
  4. Step 4: Simplify right side
    6,274.72x = 33,908,883.84
  5. Step 5: Solve for x
    x = 33,908,883.84/6,274.72
  6. Step 6: Final answer
    x = 5,404.05

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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.