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Finding the Fourth Proportional to 3,756.40, 5,186.04 and 3,341.24

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Solution

The fourth proportional to 3,756.40, 5,186.04 and 3,341.24 is: 4,612.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.40 : 5,186.04 = 3,341.24 : x
  2. Step 2: Convert to fraction form
    3,756.40/5,186.04 = 3,341.24/x
  3. Step 3: Cross multiply
    3,756.40x = 5,186.04 × 3,341.24
  4. Step 4: Simplify right side
    3,756.40x = 17,327,804.29
  5. Step 5: Solve for x
    x = 17,327,804.29/3,756.40
  6. Step 6: Final answer
    x = 4,612.88

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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.