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Finding the Fourth Proportional to 5,249.86, 7,232.14 and 4,410.60

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Solution

The fourth proportional to 5,249.86, 7,232.14 and 4,410.60 is: 6,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.86 : 7,232.14 = 4,410.60 : x
  2. Step 2: Convert to fraction form
    5,249.86/7,232.14 = 4,410.60/x
  3. Step 3: Cross multiply
    5,249.86x = 7,232.14 × 4,410.60
  4. Step 4: Simplify right side
    5,249.86x = 31,898,070.95
  5. Step 5: Solve for x
    x = 31,898,070.95/5,249.86
  6. Step 6: Final answer
    x = 6,075.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.