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Finding the Fourth Proportional to 4,454.68, 6,147.06 and 2,465.23

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Solution

The fourth proportional to 4,454.68, 6,147.06 and 2,465.23 is: 3,401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454.68 : 6,147.06 = 2,465.23 : x
  2. Step 2: Convert to fraction form
    4,454.68/6,147.06 = 2,465.23/x
  3. Step 3: Cross multiply
    4,454.68x = 6,147.06 × 2,465.23
  4. Step 4: Simplify right side
    4,454.68x = 15,153,916.72
  5. Step 5: Solve for x
    x = 15,153,916.72/4,454.68
  6. Step 6: Final answer
    x = 3,401.80

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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.