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Finding the Fourth Proportional to 4,215.77, 6,322.05 and 1,404.10

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Solution

The fourth proportional to 4,215.77, 6,322.05 and 1,404.10 is: 2,105.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.77 : 6,322.05 = 1,404.10 : x
  2. Step 2: Convert to fraction form
    4,215.77/6,322.05 = 1,404.10/x
  3. Step 3: Cross multiply
    4,215.77x = 6,322.05 × 1,404.10
  4. Step 4: Simplify right side
    4,215.77x = 8,876,798.31
  5. Step 5: Solve for x
    x = 8,876,798.31/4,215.77
  6. Step 6: Final answer
    x = 2,105.62

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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.