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Finding the Fourth Proportional to 3,713.61, 5,124.79 and 2,035.01

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Solution

The fourth proportional to 3,713.61, 5,124.79 and 2,035.01 is: 2,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.61 : 5,124.79 = 2,035.01 : x
  2. Step 2: Convert to fraction form
    3,713.61/5,124.79 = 2,035.01/x
  3. Step 3: Cross multiply
    3,713.61x = 5,124.79 × 2,035.01
  4. Step 4: Simplify right side
    3,713.61x = 10,428,968.19
  5. Step 5: Solve for x
    x = 10,428,968.19/3,713.61
  6. Step 6: Final answer
    x = 2,808.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.