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Finding the Fourth Proportional to 3,157.84, 4,736.95 and 1,309.10

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Solution

The fourth proportional to 3,157.84, 4,736.95 and 1,309.10 is: 1,963.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.84 : 4,736.95 = 1,309.10 : x
  2. Step 2: Convert to fraction form
    3,157.84/4,736.95 = 1,309.10/x
  3. Step 3: Cross multiply
    3,157.84x = 4,736.95 × 1,309.10
  4. Step 4: Simplify right side
    3,157.84x = 6,201,117.56
  5. Step 5: Solve for x
    x = 6,201,117.56/3,157.84
  6. Step 6: Final answer
    x = 1,963.72

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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.