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Finding the Fourth Proportional to 3,782.40, 5,225.76 and 2,946.24

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Solution

The fourth proportional to 3,782.40, 5,225.76 and 2,946.24 is: 4,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.40 : 5,225.76 = 2,946.24 : x
  2. Step 2: Convert to fraction form
    3,782.40/5,225.76 = 2,946.24/x
  3. Step 3: Cross multiply
    3,782.40x = 5,225.76 × 2,946.24
  4. Step 4: Simplify right side
    3,782.40x = 15,396,343.14
  5. Step 5: Solve for x
    x = 15,396,343.14/3,782.40
  6. Step 6: Final answer
    x = 4,070.52

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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.