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Finding the Fourth Proportional to 3,743.77, 5,615.61 and 970.20

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Solution

The fourth proportional to 3,743.77, 5,615.61 and 970.20 is: 1,455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.77 : 5,615.61 = 970.20 : x
  2. Step 2: Convert to fraction form
    3,743.77/5,615.61 = 970.20/x
  3. Step 3: Cross multiply
    3,743.77x = 5,615.61 × 970.20
  4. Step 4: Simplify right side
    3,743.77x = 5,448,264.82
  5. Step 5: Solve for x
    x = 5,448,264.82/3,743.77
  6. Step 6: Final answer
    x = 1,455.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.