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Finding the Fourth Proportional to 4,678.38, 7,018.70 and 1,756.71

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Solution

The fourth proportional to 4,678.38, 7,018.70 and 1,756.71 is: 2,635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.38 : 7,018.70 = 1,756.71 : x
  2. Step 2: Convert to fraction form
    4,678.38/7,018.70 = 1,756.71/x
  3. Step 3: Cross multiply
    4,678.38x = 7,018.70 × 1,756.71
  4. Step 4: Simplify right side
    4,678.38x = 12,329,811.69
  5. Step 5: Solve for x
    x = 12,329,811.69/4,678.38
  6. Step 6: Final answer
    x = 2,635.49

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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.