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Finding the Fourth Proportional to 5,632.98, 7,776.62 and 3,746.01

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Solution

The fourth proportional to 5,632.98, 7,776.62 and 3,746.01 is: 5,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.98 : 7,776.62 = 3,746.01 : x
  2. Step 2: Convert to fraction form
    5,632.98/7,776.62 = 3,746.01/x
  3. Step 3: Cross multiply
    5,632.98x = 7,776.62 × 3,746.01
  4. Step 4: Simplify right side
    5,632.98x = 29,131,296.29
  5. Step 5: Solve for x
    x = 29,131,296.29/5,632.98
  6. Step 6: Final answer
    x = 5,171.56

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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.