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Finding the Fourth Proportional to 3,709.94, 5,567.94 and 2,537.06

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Solution

The fourth proportional to 3,709.94, 5,567.94 and 2,537.06 is: 3,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.94 : 5,567.94 = 2,537.06 : x
  2. Step 2: Convert to fraction form
    3,709.94/5,567.94 = 2,537.06/x
  3. Step 3: Cross multiply
    3,709.94x = 5,567.94 × 2,537.06
  4. Step 4: Simplify right side
    3,709.94x = 14,126,170.02
  5. Step 5: Solve for x
    x = 14,126,170.02/3,709.94
  6. Step 6: Final answer
    x = 3,807.66

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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.