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Finding the Fourth Proportional to 3,970.77, 5,958 and 2,024.34

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Solution

The fourth proportional to 3,970.77, 5,958 and 2,024.34 is: 3,037.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.77 : 5,958 = 2,024.34 : x
  2. Step 2: Convert to fraction form
    3,970.77/5,958 = 2,024.34/x
  3. Step 3: Cross multiply
    3,970.77x = 5,958 × 2,024.34
  4. Step 4: Simplify right side
    3,970.77x = 12,061,017.72
  5. Step 5: Solve for x
    x = 12,061,017.72/3,970.77
  6. Step 6: Final answer
    x = 3,037.45

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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.