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Finding the Fourth Proportional to 5,722.34, 8,575.80 and 2,434.54

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Solution

The fourth proportional to 5,722.34, 8,575.80 and 2,434.54 is: 3,648.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.34 : 8,575.80 = 2,434.54 : x
  2. Step 2: Convert to fraction form
    5,722.34/8,575.80 = 2,434.54/x
  3. Step 3: Cross multiply
    5,722.34x = 8,575.80 × 2,434.54
  4. Step 4: Simplify right side
    5,722.34x = 20,878,128.13
  5. Step 5: Solve for x
    x = 20,878,128.13/5,722.34
  6. Step 6: Final answer
    x = 3,648.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.