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Finding the Fourth Proportional to 3,703.87, 5,113.35 and 2,946.16

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Solution

The fourth proportional to 3,703.87, 5,113.35 and 2,946.16 is: 4,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.87 : 5,113.35 = 2,946.16 : x
  2. Step 2: Convert to fraction form
    3,703.87/5,113.35 = 2,946.16/x
  3. Step 3: Cross multiply
    3,703.87x = 5,113.35 × 2,946.16
  4. Step 4: Simplify right side
    3,703.87x = 15,064,747.24
  5. Step 5: Solve for x
    x = 15,064,747.24/3,703.87
  6. Step 6: Final answer
    x = 4,067.30

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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.