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Finding the Fourth Proportional to 4,133.79, 6,201 and 1,536.75

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Solution

The fourth proportional to 4,133.79, 6,201 and 1,536.75 is: 2,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.79 : 6,201 = 1,536.75 : x
  2. Step 2: Convert to fraction form
    4,133.79/6,201 = 1,536.75/x
  3. Step 3: Cross multiply
    4,133.79x = 6,201 × 1,536.75
  4. Step 4: Simplify right side
    4,133.79x = 9,529,386.75
  5. Step 5: Solve for x
    x = 9,529,386.75/4,133.79
  6. Step 6: Final answer
    x = 2,305.24

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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.