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Finding the Fourth Proportional to 4,357.14, 6,536.52 and 1,435.65

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Solution

The fourth proportional to 4,357.14, 6,536.52 and 1,435.65 is: 2,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.14 : 6,536.52 = 1,435.65 : x
  2. Step 2: Convert to fraction form
    4,357.14/6,536.52 = 1,435.65/x
  3. Step 3: Cross multiply
    4,357.14x = 6,536.52 × 1,435.65
  4. Step 4: Simplify right side
    4,357.14x = 9,384,154.94
  5. Step 5: Solve for x
    x = 9,384,154.94/4,357.14
  6. Step 6: Final answer
    x = 2,153.74

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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.