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Finding the Fourth Proportional to 5,261.80, 7,259.22 and 4,598.68

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Solution

The fourth proportional to 5,261.80, 7,259.22 and 4,598.68 is: 6,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.80 : 7,259.22 = 4,598.68 : x
  2. Step 2: Convert to fraction form
    5,261.80/7,259.22 = 4,598.68/x
  3. Step 3: Cross multiply
    5,261.80x = 7,259.22 × 4,598.68
  4. Step 4: Simplify right side
    5,261.80x = 33,382,829.83
  5. Step 5: Solve for x
    x = 33,382,829.83/5,261.80
  6. Step 6: Final answer
    x = 6,344.37

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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.