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Finding the Fourth Proportional to 4,532.76, 6,800.10 and 1,412.70

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Solution

The fourth proportional to 4,532.76, 6,800.10 and 1,412.70 is: 2,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.76 : 6,800.10 = 1,412.70 : x
  2. Step 2: Convert to fraction form
    4,532.76/6,800.10 = 1,412.70/x
  3. Step 3: Cross multiply
    4,532.76x = 6,800.10 × 1,412.70
  4. Step 4: Simplify right side
    4,532.76x = 9,606,501.27
  5. Step 5: Solve for x
    x = 9,606,501.27/4,532.76
  6. Step 6: Final answer
    x = 2,119.35

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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.