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Finding the Fourth Proportional to 3,537.36, 5,297.93 and 1,973.93

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Solution

The fourth proportional to 3,537.36, 5,297.93 and 1,973.93 is: 2,956.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.36 : 5,297.93 = 1,973.93 : x
  2. Step 2: Convert to fraction form
    3,537.36/5,297.93 = 1,973.93/x
  3. Step 3: Cross multiply
    3,537.36x = 5,297.93 × 1,973.93
  4. Step 4: Simplify right side
    3,537.36x = 10,457,706.61
  5. Step 5: Solve for x
    x = 10,457,706.61/3,537.36
  6. Step 6: Final answer
    x = 2,956.36

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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.