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Finding the Fourth Proportional to 4,937.13, 7,404.17 and 1,649.45

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Solution

The fourth proportional to 4,937.13, 7,404.17 and 1,649.45 is: 2,473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.13 : 7,404.17 = 1,649.45 : x
  2. Step 2: Convert to fraction form
    4,937.13/7,404.17 = 1,649.45/x
  3. Step 3: Cross multiply
    4,937.13x = 7,404.17 × 1,649.45
  4. Step 4: Simplify right side
    4,937.13x = 12,212,818.47
  5. Step 5: Solve for x
    x = 12,212,818.47/4,937.13
  6. Step 6: Final answer
    x = 2,473.67

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