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Finding the Fourth Proportional to 6,187.90, 8,532.90 and 4,301.60

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Solution

The fourth proportional to 6,187.90, 8,532.90 and 4,301.60 is: 5,931.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.90 : 8,532.90 = 4,301.60 : x
  2. Step 2: Convert to fraction form
    6,187.90/8,532.90 = 4,301.60/x
  3. Step 3: Cross multiply
    6,187.90x = 8,532.90 × 4,301.60
  4. Step 4: Simplify right side
    6,187.90x = 36,705,122.64
  5. Step 5: Solve for x
    x = 36,705,122.64/6,187.90
  6. Step 6: Final answer
    x = 5,931.76

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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.