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Finding the Fourth Proportional to 4,200.06, 5,795.70 and 2,521.14

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Solution

The fourth proportional to 4,200.06, 5,795.70 and 2,521.14 is: 3,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.06 : 5,795.70 = 2,521.14 : x
  2. Step 2: Convert to fraction form
    4,200.06/5,795.70 = 2,521.14/x
  3. Step 3: Cross multiply
    4,200.06x = 5,795.70 × 2,521.14
  4. Step 4: Simplify right side
    4,200.06x = 14,611,771.10
  5. Step 5: Solve for x
    x = 14,611,771.10/4,200.06
  6. Step 6: Final answer
    x = 3,478.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.