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Finding the Fourth Proportional to 5,357.63, 8,036.55 and 1,462.14

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Solution

The fourth proportional to 5,357.63, 8,036.55 and 1,462.14 is: 2,193.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.63 : 8,036.55 = 1,462.14 : x
  2. Step 2: Convert to fraction form
    5,357.63/8,036.55 = 1,462.14/x
  3. Step 3: Cross multiply
    5,357.63x = 8,036.55 × 1,462.14
  4. Step 4: Simplify right side
    5,357.63x = 11,750,561.22
  5. Step 5: Solve for x
    x = 11,750,561.22/5,357.63
  6. Step 6: Final answer
    x = 2,193.24

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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.