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Finding the Fourth Proportional to 4,449.34, 6,674.70 and 1,526.94

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Solution

The fourth proportional to 4,449.34, 6,674.70 and 1,526.94 is: 2,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.34 : 6,674.70 = 1,526.94 : x
  2. Step 2: Convert to fraction form
    4,449.34/6,674.70 = 1,526.94/x
  3. Step 3: Cross multiply
    4,449.34x = 6,674.70 × 1,526.94
  4. Step 4: Simplify right side
    4,449.34x = 10,191,866.42
  5. Step 5: Solve for x
    x = 10,191,866.42/4,449.34
  6. Step 6: Final answer
    x = 2,290.65

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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.