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Finding the Fourth Proportional to 4,026.32, 6,035.16 and 1,970

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Solution

The fourth proportional to 4,026.32, 6,035.16 and 1,970 is: 2,952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026.32 : 6,035.16 = 1,970 : x
  2. Step 2: Convert to fraction form
    4,026.32/6,035.16 = 1,970/x
  3. Step 3: Cross multiply
    4,026.32x = 6,035.16 × 1,970
  4. Step 4: Simplify right side
    4,026.32x = 11,889,265.20
  5. Step 5: Solve for x
    x = 11,889,265.20/4,026.32
  6. Step 6: Final answer
    x = 2,952.89

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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.