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Finding the Fourth Proportional to 5,244.64, 7,868.32 and 2,322.26

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Solution

The fourth proportional to 5,244.64, 7,868.32 and 2,322.26 is: 3,483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.64 : 7,868.32 = 2,322.26 : x
  2. Step 2: Convert to fraction form
    5,244.64/7,868.32 = 2,322.26/x
  3. Step 3: Cross multiply
    5,244.64x = 7,868.32 × 2,322.26
  4. Step 4: Simplify right side
    5,244.64x = 18,272,284.80
  5. Step 5: Solve for x
    x = 18,272,284.80/5,244.64
  6. Step 6: Final answer
    x = 3,483.99

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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.