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Finding the Fourth Proportional to 4,477.84, 6,718.74 and 2,288.38

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Solution

The fourth proportional to 4,477.84, 6,718.74 and 2,288.38 is: 3,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.84 : 6,718.74 = 2,288.38 : x
  2. Step 2: Convert to fraction form
    4,477.84/6,718.74 = 2,288.38/x
  3. Step 3: Cross multiply
    4,477.84x = 6,718.74 × 2,288.38
  4. Step 4: Simplify right side
    4,477.84x = 15,375,030.24
  5. Step 5: Solve for x
    x = 15,375,030.24/4,477.84
  6. Step 6: Final answer
    x = 3,433.58

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1.5x scale

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.