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Finding the Fourth Proportional to 3,762.53, 5,192.23 and 2,083.93

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Solution

The fourth proportional to 3,762.53, 5,192.23 and 2,083.93 is: 2,875.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.53 : 5,192.23 = 2,083.93 : x
  2. Step 2: Convert to fraction form
    3,762.53/5,192.23 = 2,083.93/x
  3. Step 3: Cross multiply
    3,762.53x = 5,192.23 × 2,083.93
  4. Step 4: Simplify right side
    3,762.53x = 10,820,256.58
  5. Step 5: Solve for x
    x = 10,820,256.58/3,762.53
  6. Step 6: Final answer
    x = 2,875.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.