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Finding the Fourth Proportional to 4,285.56, 6,429.22 and 1,363.74

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Solution

The fourth proportional to 4,285.56, 6,429.22 and 1,363.74 is: 2,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.56 : 6,429.22 = 1,363.74 : x
  2. Step 2: Convert to fraction form
    4,285.56/6,429.22 = 1,363.74/x
  3. Step 3: Cross multiply
    4,285.56x = 6,429.22 × 1,363.74
  4. Step 4: Simplify right side
    4,285.56x = 8,767,784.48
  5. Step 5: Solve for x
    x = 8,767,784.48/4,285.56
  6. Step 6: Final answer
    x = 2,045.89

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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.