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Finding the Fourth Proportional to 5,663.04, 7,815.06 and 3,145.20

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Solution

The fourth proportional to 5,663.04, 7,815.06 and 3,145.20 is: 4,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.04 : 7,815.06 = 3,145.20 : x
  2. Step 2: Convert to fraction form
    5,663.04/7,815.06 = 3,145.20/x
  3. Step 3: Cross multiply
    5,663.04x = 7,815.06 × 3,145.20
  4. Step 4: Simplify right side
    5,663.04x = 24,579,926.71
  5. Step 5: Solve for x
    x = 24,579,926.71/5,663.04
  6. Step 6: Final answer
    x = 4,340.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.