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Finding the Fourth Proportional to 3,484.96, 5,225.82 and 1,404.16

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Solution

The fourth proportional to 3,484.96, 5,225.82 and 1,404.16 is: 2,105.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.96 : 5,225.82 = 1,404.16 : x
  2. Step 2: Convert to fraction form
    3,484.96/5,225.82 = 1,404.16/x
  3. Step 3: Cross multiply
    3,484.96x = 5,225.82 × 1,404.16
  4. Step 4: Simplify right side
    3,484.96x = 7,337,887.41
  5. Step 5: Solve for x
    x = 7,337,887.41/3,484.96
  6. Step 6: Final answer
    x = 2,105.59

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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.