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Finding the Fourth Proportional to 5,421.16, 8,084.39 and 4,823.86

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Solution

The fourth proportional to 5,421.16, 8,084.39 and 4,823.86 is: 7,193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421.16 : 8,084.39 = 4,823.86 : x
  2. Step 2: Convert to fraction form
    5,421.16/8,084.39 = 4,823.86/x
  3. Step 3: Cross multiply
    5,421.16x = 8,084.39 × 4,823.86
  4. Step 4: Simplify right side
    5,421.16x = 38,997,965.55
  5. Step 5: Solve for x
    x = 38,997,965.55/5,421.16
  6. Step 6: Final answer
    x = 7,193.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.