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Finding the Fourth Proportional to 4,335.06, 6,502.21 and 1,214.80

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Solution

The fourth proportional to 4,335.06, 6,502.21 and 1,214.80 is: 1,822.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.06 : 6,502.21 = 1,214.80 : x
  2. Step 2: Convert to fraction form
    4,335.06/6,502.21 = 1,214.80/x
  3. Step 3: Cross multiply
    4,335.06x = 6,502.21 × 1,214.80
  4. Step 4: Simplify right side
    4,335.06x = 7,898,884.71
  5. Step 5: Solve for x
    x = 7,898,884.71/4,335.06
  6. Step 6: Final answer
    x = 1,822.09

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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.