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Finding the Fourth Proportional to 3,448.82, 4,762.14 and 2,123.26

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Solution

The fourth proportional to 3,448.82, 4,762.14 and 2,123.26 is: 2,931.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.82 : 4,762.14 = 2,123.26 : x
  2. Step 2: Convert to fraction form
    3,448.82/4,762.14 = 2,123.26/x
  3. Step 3: Cross multiply
    3,448.82x = 4,762.14 × 2,123.26
  4. Step 4: Simplify right side
    3,448.82x = 10,111,261.38
  5. Step 5: Solve for x
    x = 10,111,261.38/3,448.82
  6. Step 6: Final answer
    x = 2,931.80

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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.