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Finding the Fourth Proportional to 4,597.35, 6,896.06 and 1,310.43

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Solution

The fourth proportional to 4,597.35, 6,896.06 and 1,310.43 is: 1,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.35 : 6,896.06 = 1,310.43 : x
  2. Step 2: Convert to fraction form
    4,597.35/6,896.06 = 1,310.43/x
  3. Step 3: Cross multiply
    4,597.35x = 6,896.06 × 1,310.43
  4. Step 4: Simplify right side
    4,597.35x = 9,036,803.91
  5. Step 5: Solve for x
    x = 9,036,803.91/4,597.35
  6. Step 6: Final answer
    x = 1,965.65

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