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Finding the Fourth Proportional to 5,890.34, 8,132.40 and 4,097.15

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Solution

The fourth proportional to 5,890.34, 8,132.40 and 4,097.15 is: 5,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.34 : 8,132.40 = 4,097.15 : x
  2. Step 2: Convert to fraction form
    5,890.34/8,132.40 = 4,097.15/x
  3. Step 3: Cross multiply
    5,890.34x = 8,132.40 × 4,097.15
  4. Step 4: Simplify right side
    5,890.34x = 33,319,652.49
  5. Step 5: Solve for x
    x = 33,319,652.49/5,890.34
  6. Step 6: Final answer
    x = 5,656.66

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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.