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Finding the Fourth Proportional to 4,561.70, 6,295.13 and 2,465.83

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Solution

The fourth proportional to 4,561.70, 6,295.13 and 2,465.83 is: 3,402.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.70 : 6,295.13 = 2,465.83 : x
  2. Step 2: Convert to fraction form
    4,561.70/6,295.13 = 2,465.83/x
  3. Step 3: Cross multiply
    4,561.70x = 6,295.13 × 2,465.83
  4. Step 4: Simplify right side
    4,561.70x = 15,522,688.93
  5. Step 5: Solve for x
    x = 15,522,688.93/4,561.70
  6. Step 6: Final answer
    x = 3,402.83

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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.