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Finding the Fourth Proportional to 6,137.12, 8,466.70 and 4,275.20

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Solution

The fourth proportional to 6,137.12, 8,466.70 and 4,275.20 is: 5,898.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.12 : 8,466.70 = 4,275.20 : x
  2. Step 2: Convert to fraction form
    6,137.12/8,466.70 = 4,275.20/x
  3. Step 3: Cross multiply
    6,137.12x = 8,466.70 × 4,275.20
  4. Step 4: Simplify right side
    6,137.12x = 36,196,835.84
  5. Step 5: Solve for x
    x = 36,196,835.84/6,137.12
  6. Step 6: Final answer
    x = 5,898.02

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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.