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Finding the Fourth Proportional to 3,502.86, 4,835.46 and 2,506.41

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Solution

The fourth proportional to 3,502.86, 4,835.46 and 2,506.41 is: 3,459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.86 : 4,835.46 = 2,506.41 : x
  2. Step 2: Convert to fraction form
    3,502.86/4,835.46 = 2,506.41/x
  3. Step 3: Cross multiply
    3,502.86x = 4,835.46 × 2,506.41
  4. Step 4: Simplify right side
    3,502.86x = 12,119,645.30
  5. Step 5: Solve for x
    x = 12,119,645.30/3,502.86
  6. Step 6: Final answer
    x = 3,459.93

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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.