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Finding the Fourth Proportional to 4,663.99, 6,996.81 and 1,543.15

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Solution

The fourth proportional to 4,663.99, 6,996.81 and 1,543.15 is: 2,315.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.99 : 6,996.81 = 1,543.15 : x
  2. Step 2: Convert to fraction form
    4,663.99/6,996.81 = 1,543.15/x
  3. Step 3: Cross multiply
    4,663.99x = 6,996.81 × 1,543.15
  4. Step 4: Simplify right side
    4,663.99x = 10,797,127.35
  5. Step 5: Solve for x
    x = 10,797,127.35/4,663.99
  6. Step 6: Final answer
    x = 2,315.00

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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.