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Finding the Fourth Proportional to 3,907.40, 5,856.98 and 2,426.63

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Solution

The fourth proportional to 3,907.40, 5,856.98 and 2,426.63 is: 3,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.40 : 5,856.98 = 2,426.63 : x
  2. Step 2: Convert to fraction form
    3,907.40/5,856.98 = 2,426.63/x
  3. Step 3: Cross multiply
    3,907.40x = 5,856.98 × 2,426.63
  4. Step 4: Simplify right side
    3,907.40x = 14,212,681.96
  5. Step 5: Solve for x
    x = 14,212,681.96/3,907.40
  6. Step 6: Final answer
    x = 3,637.38

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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.