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Finding the Fourth Proportional to 4,597.50, 6,896.88 and 2,133

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Solution

The fourth proportional to 4,597.50, 6,896.88 and 2,133 is: 3,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.50 : 6,896.88 = 2,133 : x
  2. Step 2: Convert to fraction form
    4,597.50/6,896.88 = 2,133/x
  3. Step 3: Cross multiply
    4,597.50x = 6,896.88 × 2,133
  4. Step 4: Simplify right side
    4,597.50x = 14,711,045.04
  5. Step 5: Solve for x
    x = 14,711,045.04/4,597.50
  6. Step 6: Final answer
    x = 3,199.79

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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.