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Finding the Fourth Proportional to 3,595.14, 5,386.80 and 1,402.68

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Solution

The fourth proportional to 3,595.14, 5,386.80 and 1,402.68 is: 2,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.14 : 5,386.80 = 1,402.68 : x
  2. Step 2: Convert to fraction form
    3,595.14/5,386.80 = 1,402.68/x
  3. Step 3: Cross multiply
    3,595.14x = 5,386.80 × 1,402.68
  4. Step 4: Simplify right side
    3,595.14x = 7,555,956.62
  5. Step 5: Solve for x
    x = 7,555,956.62/3,595.14
  6. Step 6: Final answer
    x = 2,101.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.