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Finding the Fourth Proportional to 3,502.83, 5,254.25 and 2,403.86

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Solution

The fourth proportional to 3,502.83, 5,254.25 and 2,403.86 is: 3,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.83 : 5,254.25 = 2,403.86 : x
  2. Step 2: Convert to fraction form
    3,502.83/5,254.25 = 2,403.86/x
  3. Step 3: Cross multiply
    3,502.83x = 5,254.25 × 2,403.86
  4. Step 4: Simplify right side
    3,502.83x = 12,630,500.55
  5. Step 5: Solve for x
    x = 12,630,500.55/3,502.83
  6. Step 6: Final answer
    x = 3,605.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.