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Finding the Fourth Proportional to 4,597.49, 6,895.60 and 1,310.85

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Solution

The fourth proportional to 4,597.49, 6,895.60 and 1,310.85 is: 1,966.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.49 : 6,895.60 = 1,310.85 : x
  2. Step 2: Convert to fraction form
    4,597.49/6,895.60 = 1,310.85/x
  3. Step 3: Cross multiply
    4,597.49x = 6,895.60 × 1,310.85
  4. Step 4: Simplify right side
    4,597.49x = 9,039,093.98
  5. Step 5: Solve for x
    x = 9,039,093.98/4,597.49
  6. Step 6: Final answer
    x = 1,966.09

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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.