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Finding the Fourth Proportional to 4,597.71, 6,896.82 and 1,310.55

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Solution

The fourth proportional to 4,597.71, 6,896.82 and 1,310.55 is: 1,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.71 : 6,896.82 = 1,310.55 : x
  2. Step 2: Convert to fraction form
    4,597.71/6,896.82 = 1,310.55/x
  3. Step 3: Cross multiply
    4,597.71x = 6,896.82 × 1,310.55
  4. Step 4: Simplify right side
    4,597.71x = 9,038,606.50
  5. Step 5: Solve for x
    x = 9,038,606.50/4,597.71
  6. Step 6: Final answer
    x = 1,965.89

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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.