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Finding the Fourth Proportional to 5,663.43, 8,497.58 and 1,966.19

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Solution

The fourth proportional to 5,663.43, 8,497.58 and 1,966.19 is: 2,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.43 : 8,497.58 = 1,966.19 : x
  2. Step 2: Convert to fraction form
    5,663.43/8,497.58 = 1,966.19/x
  3. Step 3: Cross multiply
    5,663.43x = 8,497.58 × 1,966.19
  4. Step 4: Simplify right side
    5,663.43x = 16,707,804.50
  5. Step 5: Solve for x
    x = 16,707,804.50/5,663.43
  6. Step 6: Final answer
    x = 2,950.12

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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.