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Finding the Fourth Proportional to 3,415.01, 4,715.24 and 2,090.52

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Solution

The fourth proportional to 3,415.01, 4,715.24 and 2,090.52 is: 2,886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.01 : 4,715.24 = 2,090.52 : x
  2. Step 2: Convert to fraction form
    3,415.01/4,715.24 = 2,090.52/x
  3. Step 3: Cross multiply
    3,415.01x = 4,715.24 × 2,090.52
  4. Step 4: Simplify right side
    3,415.01x = 9,857,293.07
  5. Step 5: Solve for x
    x = 9,857,293.07/3,415.01
  6. Step 6: Final answer
    x = 2,886.47

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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.