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Finding the Fourth Proportional to 3,507.78, 5,258.01 and 1,426.95

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Solution

The fourth proportional to 3,507.78, 5,258.01 and 1,426.95 is: 2,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.78 : 5,258.01 = 1,426.95 : x
  2. Step 2: Convert to fraction form
    3,507.78/5,258.01 = 1,426.95/x
  3. Step 3: Cross multiply
    3,507.78x = 5,258.01 × 1,426.95
  4. Step 4: Simplify right side
    3,507.78x = 7,502,917.37
  5. Step 5: Solve for x
    x = 7,502,917.37/3,507.78
  6. Step 6: Final answer
    x = 2,138.94

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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.