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Finding the Fourth Proportional to 3,816.14, 5,719.01 and 3,703.93

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Solution

The fourth proportional to 3,816.14, 5,719.01 and 3,703.93 is: 5,550.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.14 : 5,719.01 = 3,703.93 : x
  2. Step 2: Convert to fraction form
    3,816.14/5,719.01 = 3,703.93/x
  3. Step 3: Cross multiply
    3,816.14x = 5,719.01 × 3,703.93
  4. Step 4: Simplify right side
    3,816.14x = 21,182,779.89
  5. Step 5: Solve for x
    x = 21,182,779.89/3,816.14
  6. Step 6: Final answer
    x = 5,550.84

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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.