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Finding the Fourth Proportional to 5,768.48, 7,941.26 and 5,503.98

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Solution

The fourth proportional to 5,768.48, 7,941.26 and 5,503.98 is: 7,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.48 : 7,941.26 = 5,503.98 : x
  2. Step 2: Convert to fraction form
    5,768.48/7,941.26 = 5,503.98/x
  3. Step 3: Cross multiply
    5,768.48x = 7,941.26 × 5,503.98
  4. Step 4: Simplify right side
    5,768.48x = 43,708,536.21
  5. Step 5: Solve for x
    x = 43,708,536.21/5,768.48
  6. Step 6: Final answer
    x = 7,577.13

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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.