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Finding the Fourth Proportional to 4,273.47, 5,897.42 and 2,410.47

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Solution

The fourth proportional to 4,273.47, 5,897.42 and 2,410.47 is: 3,326.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.47 : 5,897.42 = 2,410.47 : x
  2. Step 2: Convert to fraction form
    4,273.47/5,897.42 = 2,410.47/x
  3. Step 3: Cross multiply
    4,273.47x = 5,897.42 × 2,410.47
  4. Step 4: Simplify right side
    4,273.47x = 14,215,541.94
  5. Step 5: Solve for x
    x = 14,215,541.94/4,273.47
  6. Step 6: Final answer
    x = 3,326.46

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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.