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Finding the Fourth Proportional to 6,271.84, 8,652.64 and 4,279.20

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Solution

The fourth proportional to 6,271.84, 8,652.64 and 4,279.20 is: 5,903.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.84 : 8,652.64 = 4,279.20 : x
  2. Step 2: Convert to fraction form
    6,271.84/8,652.64 = 4,279.20/x
  3. Step 3: Cross multiply
    6,271.84x = 8,652.64 × 4,279.20
  4. Step 4: Simplify right side
    6,271.84x = 37,026,377.09
  5. Step 5: Solve for x
    x = 37,026,377.09/6,271.84
  6. Step 6: Final answer
    x = 5,903.59

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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.