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Finding the Fourth Proportional to 5,335.77, 7,363.77 and 2,946.20

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Solution

The fourth proportional to 5,335.77, 7,363.77 and 2,946.20 is: 4,065.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.77 : 7,363.77 = 2,946.20 : x
  2. Step 2: Convert to fraction form
    5,335.77/7,363.77 = 2,946.20/x
  3. Step 3: Cross multiply
    5,335.77x = 7,363.77 × 2,946.20
  4. Step 4: Simplify right side
    5,335.77x = 21,695,120.30
  5. Step 5: Solve for x
    x = 21,695,120.30/5,335.77
  6. Step 6: Final answer
    x = 4,065.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.