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Finding the Fourth Proportional to 5,656.03, 7,803.71 and 3,297.71

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Solution

The fourth proportional to 5,656.03, 7,803.71 and 3,297.71 is: 4,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.03 : 7,803.71 = 3,297.71 : x
  2. Step 2: Convert to fraction form
    5,656.03/7,803.71 = 3,297.71/x
  3. Step 3: Cross multiply
    5,656.03x = 7,803.71 × 3,297.71
  4. Step 4: Simplify right side
    5,656.03x = 25,734,372.50
  5. Step 5: Solve for x
    x = 25,734,372.50/5,656.03
  6. Step 6: Final answer
    x = 4,549.90

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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.