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Finding the Fourth Proportional to 5,656.23, 7,806.38 and 3,298.46

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Solution

The fourth proportional to 5,656.23, 7,806.38 and 3,298.46 is: 4,552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.23 : 7,806.38 = 3,298.46 : x
  2. Step 2: Convert to fraction form
    5,656.23/7,806.38 = 3,298.46/x
  3. Step 3: Cross multiply
    5,656.23x = 7,806.38 × 3,298.46
  4. Step 4: Simplify right side
    5,656.23x = 25,748,976.65
  5. Step 5: Solve for x
    x = 25,748,976.65/5,656.23
  6. Step 6: Final answer
    x = 4,552.32

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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.