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Finding the Fourth Proportional to 4,249.60, 5,870.06 and 3,543.75

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Solution

The fourth proportional to 4,249.60, 5,870.06 and 3,543.75 is: 4,895.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.60 : 5,870.06 = 3,543.75 : x
  2. Step 2: Convert to fraction form
    4,249.60/5,870.06 = 3,543.75/x
  3. Step 3: Cross multiply
    4,249.60x = 5,870.06 × 3,543.75
  4. Step 4: Simplify right side
    4,249.60x = 20,802,025.13
  5. Step 5: Solve for x
    x = 20,802,025.13/4,249.60
  6. Step 6: Final answer
    x = 4,895.05

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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.