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Finding the Fourth Proportional to 4,561.63, 6,295.05 and 2,465.75

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Solution

The fourth proportional to 4,561.63, 6,295.05 and 2,465.75 is: 3,402.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.63 : 6,295.05 = 2,465.75 : x
  2. Step 2: Convert to fraction form
    4,561.63/6,295.05 = 2,465.75/x
  3. Step 3: Cross multiply
    4,561.63x = 6,295.05 × 2,465.75
  4. Step 4: Simplify right side
    4,561.63x = 15,522,019.54
  5. Step 5: Solve for x
    x = 15,522,019.54/4,561.63
  6. Step 6: Final answer
    x = 3,402.74

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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.