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Finding the Fourth Proportional to 3,762.02, 5,192.66 and 2,643.22

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Solution

The fourth proportional to 3,762.02, 5,192.66 and 2,643.22 is: 3,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.02 : 5,192.66 = 2,643.22 : x
  2. Step 2: Convert to fraction form
    3,762.02/5,192.66 = 2,643.22/x
  3. Step 3: Cross multiply
    3,762.02x = 5,192.66 × 2,643.22
  4. Step 4: Simplify right side
    3,762.02x = 13,725,342.77
  5. Step 5: Solve for x
    x = 13,725,342.77/3,762.02
  6. Step 6: Final answer
    x = 3,648.40

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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.