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Finding the Fourth Proportional to 4,200.09, 5,800.02 and 2,710.59

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Solution

The fourth proportional to 4,200.09, 5,800.02 and 2,710.59 is: 3,743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.09 : 5,800.02 = 2,710.59 : x
  2. Step 2: Convert to fraction form
    4,200.09/5,800.02 = 2,710.59/x
  3. Step 3: Cross multiply
    4,200.09x = 5,800.02 × 2,710.59
  4. Step 4: Simplify right side
    4,200.09x = 15,721,476.21
  5. Step 5: Solve for x
    x = 15,721,476.21/4,200.09
  6. Step 6: Final answer
    x = 3,743.13

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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.