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Finding the Fourth Proportional to 4,597.82, 6,895.78 and 1,310.03

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Solution

The fourth proportional to 4,597.82, 6,895.78 and 1,310.03 is: 1,964.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.82 : 6,895.78 = 1,310.03 : x
  2. Step 2: Convert to fraction form
    4,597.82/6,895.78 = 1,310.03/x
  3. Step 3: Cross multiply
    4,597.82x = 6,895.78 × 1,310.03
  4. Step 4: Simplify right side
    4,597.82x = 9,033,678.67
  5. Step 5: Solve for x
    x = 9,033,678.67/4,597.82
  6. Step 6: Final answer
    x = 1,964.77

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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.