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Finding the Fourth Proportional to 3,087, 4,632.26 and 2,358

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Solution

The fourth proportional to 3,087, 4,632.26 and 2,358 is: 3,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087 : 4,632.26 = 2,358 : x
  2. Step 2: Convert to fraction form
    3,087/4,632.26 = 2,358/x
  3. Step 3: Cross multiply
    3,087x = 4,632.26 × 2,358
  4. Step 4: Simplify right side
    3,087x = 10,922,857.29
  5. Step 5: Solve for x
    x = 10,922,857.29/3,087
  6. Step 6: Final answer
    x = 3,538.34

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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.