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Finding the Fourth Proportional to 4,215.35, 6,324.05 and 1,404.17

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Solution

The fourth proportional to 4,215.35, 6,324.05 and 1,404.17 is: 2,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.35 : 6,324.05 = 1,404.17 : x
  2. Step 2: Convert to fraction form
    4,215.35/6,324.05 = 1,404.17/x
  3. Step 3: Cross multiply
    4,215.35x = 6,324.05 × 1,404.17
  4. Step 4: Simplify right side
    4,215.35x = 8,880,050.08
  5. Step 5: Solve for x
    x = 8,880,050.08/4,215.35
  6. Step 6: Final answer
    x = 2,106.60

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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.