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Finding the Fourth Proportional to 4,123.58, 5,686.01 and 3,177.28

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Solution

The fourth proportional to 4,123.58, 5,686.01 and 3,177.28 is: 4,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.58 : 5,686.01 = 3,177.28 : x
  2. Step 2: Convert to fraction form
    4,123.58/5,686.01 = 3,177.28/x
  3. Step 3: Cross multiply
    4,123.58x = 5,686.01 × 3,177.28
  4. Step 4: Simplify right side
    4,123.58x = 18,066,045.85
  5. Step 5: Solve for x
    x = 18,066,045.85/4,123.58
  6. Step 6: Final answer
    x = 4,381.16

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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.