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Finding the Fourth Proportional to 4,235.84, 6,357.48 and 4,220.72

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Solution

The fourth proportional to 4,235.84, 6,357.48 and 4,220.72 is: 6,334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.84 : 6,357.48 = 4,220.72 : x
  2. Step 2: Convert to fraction form
    4,235.84/6,357.48 = 4,220.72/x
  3. Step 3: Cross multiply
    4,235.84x = 6,357.48 × 4,220.72
  4. Step 4: Simplify right side
    4,235.84x = 26,833,142.99
  5. Step 5: Solve for x
    x = 26,833,142.99/4,235.84
  6. Step 6: Final answer
    x = 6,334.79

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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.