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Finding the Fourth Proportional to 3,561.69, 5,342.47 and 964.63

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Solution

The fourth proportional to 3,561.69, 5,342.47 and 964.63 is: 1,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.69 : 5,342.47 = 964.63 : x
  2. Step 2: Convert to fraction form
    3,561.69/5,342.47 = 964.63/x
  3. Step 3: Cross multiply
    3,561.69x = 5,342.47 × 964.63
  4. Step 4: Simplify right side
    3,561.69x = 5,153,491.07
  5. Step 5: Solve for x
    x = 5,153,491.07/3,561.69
  6. Step 6: Final answer
    x = 1,446.92

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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.