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Finding the Fourth Proportional to 3,762.54, 5,634.06 and 2,596.14

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Solution

The fourth proportional to 3,762.54, 5,634.06 and 2,596.14 is: 3,887.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.54 : 5,634.06 = 2,596.14 : x
  2. Step 2: Convert to fraction form
    3,762.54/5,634.06 = 2,596.14/x
  3. Step 3: Cross multiply
    3,762.54x = 5,634.06 × 2,596.14
  4. Step 4: Simplify right side
    3,762.54x = 14,626,808.53
  5. Step 5: Solve for x
    x = 14,626,808.53/3,762.54
  6. Step 6: Final answer
    x = 3,887.48

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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.