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Finding the Fourth Proportional to 3,956.58, 5,462.64 and 2,465.10

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Solution

The fourth proportional to 3,956.58, 5,462.64 and 2,465.10 is: 3,403.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.58 : 5,462.64 = 2,465.10 : x
  2. Step 2: Convert to fraction form
    3,956.58/5,462.64 = 2,465.10/x
  3. Step 3: Cross multiply
    3,956.58x = 5,462.64 × 2,465.10
  4. Step 4: Simplify right side
    3,956.58x = 13,465,953.86
  5. Step 5: Solve for x
    x = 13,465,953.86/3,956.58
  6. Step 6: Final answer
    x = 3,403.43

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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.