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Finding the Fourth Proportional to 5,572.35, 8,358.50 and 1,412.34

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Solution

The fourth proportional to 5,572.35, 8,358.50 and 1,412.34 is: 2,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.35 : 8,358.50 = 1,412.34 : x
  2. Step 2: Convert to fraction form
    5,572.35/8,358.50 = 1,412.34/x
  3. Step 3: Cross multiply
    5,572.35x = 8,358.50 × 1,412.34
  4. Step 4: Simplify right side
    5,572.35x = 11,805,063.09
  5. Step 5: Solve for x
    x = 11,805,063.09/5,572.35
  6. Step 6: Final answer
    x = 2,118.51

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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.