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Finding the Fourth Proportional to 5,357.69, 8,036.53 and 1,462.08

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Solution

The fourth proportional to 5,357.69, 8,036.53 and 1,462.08 is: 2,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.69 : 8,036.53 = 1,462.08 : x
  2. Step 2: Convert to fraction form
    5,357.69/8,036.53 = 1,462.08/x
  3. Step 3: Cross multiply
    5,357.69x = 8,036.53 × 1,462.08
  4. Step 4: Simplify right side
    5,357.69x = 11,750,046.13
  5. Step 5: Solve for x
    x = 11,750,046.13/5,357.69
  6. Step 6: Final answer
    x = 2,193.12

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Why These Related Problems?

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