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Finding the Fourth Proportional to 3,762.40, 5,644.20 and 1,297.50

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Solution

The fourth proportional to 3,762.40, 5,644.20 and 1,297.50 is: 1,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.40 : 5,644.20 = 1,297.50 : x
  2. Step 2: Convert to fraction form
    3,762.40/5,644.20 = 1,297.50/x
  3. Step 3: Cross multiply
    3,762.40x = 5,644.20 × 1,297.50
  4. Step 4: Simplify right side
    3,762.40x = 7,323,349.50
  5. Step 5: Solve for x
    x = 7,323,349.50/3,762.40
  6. Step 6: Final answer
    x = 1,946.46

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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.