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Finding the Fourth Proportional to 5,357.71, 8,035.74 and 3,277

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Solution

The fourth proportional to 5,357.71, 8,035.74 and 3,277 is: 4,915.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.71 : 8,035.74 = 3,277 : x
  2. Step 2: Convert to fraction form
    5,357.71/8,035.74 = 3,277/x
  3. Step 3: Cross multiply
    5,357.71x = 8,035.74 × 3,277
  4. Step 4: Simplify right side
    5,357.71x = 26,333,119.98
  5. Step 5: Solve for x
    x = 26,333,119.98/5,357.71
  6. Step 6: Final answer
    x = 4,915.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.