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Finding the Fourth Proportional to 4,123.14, 5,686.14 and 3,097.02

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Solution

The fourth proportional to 4,123.14, 5,686.14 and 3,097.02 is: 4,271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.14 : 5,686.14 = 3,097.02 : x
  2. Step 2: Convert to fraction form
    4,123.14/5,686.14 = 3,097.02/x
  3. Step 3: Cross multiply
    4,123.14x = 5,686.14 × 3,097.02
  4. Step 4: Simplify right side
    4,123.14x = 17,610,089.30
  5. Step 5: Solve for x
    x = 17,610,089.30/4,123.14
  6. Step 6: Final answer
    x = 4,271.04

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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.