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Finding the Fourth Proportional to 4,936.30, 7,390.05 and 4,417.90

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Solution

The fourth proportional to 4,936.30, 7,390.05 and 4,417.90 is: 6,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.30 : 7,390.05 = 4,417.90 : x
  2. Step 2: Convert to fraction form
    4,936.30/7,390.05 = 4,417.90/x
  3. Step 3: Cross multiply
    4,936.30x = 7,390.05 × 4,417.90
  4. Step 4: Simplify right side
    4,936.30x = 32,648,501.90
  5. Step 5: Solve for x
    x = 32,648,501.90/4,936.30
  6. Step 6: Final answer
    x = 6,613.96

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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.