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Finding the Fourth Proportional to 5,983, 8,977.74 and 2,905

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Solution

The fourth proportional to 5,983, 8,977.74 and 2,905 is: 4,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983 : 8,977.74 = 2,905 : x
  2. Step 2: Convert to fraction form
    5,983/8,977.74 = 2,905/x
  3. Step 3: Cross multiply
    5,983x = 8,977.74 × 2,905
  4. Step 4: Simplify right side
    5,983x = 26,080,334.70
  5. Step 5: Solve for x
    x = 26,080,334.70/5,983
  6. Step 6: Final answer
    x = 4,359.07

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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.