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Finding the Fourth Proportional to 6,214, 8,575.32 and 3,419.50

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Solution

The fourth proportional to 6,214, 8,575.32 and 3,419.50 is: 4,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214 : 8,575.32 = 3,419.50 : x
  2. Step 2: Convert to fraction form
    6,214/8,575.32 = 3,419.50/x
  3. Step 3: Cross multiply
    6,214x = 8,575.32 × 3,419.50
  4. Step 4: Simplify right side
    6,214x = 29,323,306.74
  5. Step 5: Solve for x
    x = 29,323,306.74/6,214
  6. Step 6: Final answer
    x = 4,718.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.