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Finding the Fourth Proportional to 5,854.34, 8,784.93 and 2,346.03

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Solution

The fourth proportional to 5,854.34, 8,784.93 and 2,346.03 is: 3,520.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.34 : 8,784.93 = 2,346.03 : x
  2. Step 2: Convert to fraction form
    5,854.34/8,784.93 = 2,346.03/x
  3. Step 3: Cross multiply
    5,854.34x = 8,784.93 × 2,346.03
  4. Step 4: Simplify right side
    5,854.34x = 20,609,709.33
  5. Step 5: Solve for x
    x = 20,609,709.33/5,854.34
  6. Step 6: Final answer
    x = 3,520.41

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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.