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Finding the Fourth Proportional to 4,454.70, 6,686.16 and 2,265

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Solution

The fourth proportional to 4,454.70, 6,686.16 and 2,265 is: 3,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454.70 : 6,686.16 = 2,265 : x
  2. Step 2: Convert to fraction form
    4,454.70/6,686.16 = 2,265/x
  3. Step 3: Cross multiply
    4,454.70x = 6,686.16 × 2,265
  4. Step 4: Simplify right side
    4,454.70x = 15,144,152.40
  5. Step 5: Solve for x
    x = 15,144,152.40/4,454.70
  6. Step 6: Final answer
    x = 3,399.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.