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Finding the Fourth Proportional to 4,102.66, 5,662.34 and 2,530.86

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Solution

The fourth proportional to 4,102.66, 5,662.34 and 2,530.86 is: 3,493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.66 : 5,662.34 = 2,530.86 : x
  2. Step 2: Convert to fraction form
    4,102.66/5,662.34 = 2,530.86/x
  3. Step 3: Cross multiply
    4,102.66x = 5,662.34 × 2,530.86
  4. Step 4: Simplify right side
    4,102.66x = 14,330,589.81
  5. Step 5: Solve for x
    x = 14,330,589.81/4,102.66
  6. Step 6: Final answer
    x = 3,493.00

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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.