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Finding the Fourth Proportional to 6,056, 8,357.34 and 3,539.84

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Solution

The fourth proportional to 6,056, 8,357.34 and 3,539.84 is: 4,885.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,056 : 8,357.34 = 3,539.84 : x
  2. Step 2: Convert to fraction form
    6,056/8,357.34 = 3,539.84/x
  3. Step 3: Cross multiply
    6,056x = 8,357.34 × 3,539.84
  4. Step 4: Simplify right side
    6,056x = 29,583,646.43
  5. Step 5: Solve for x
    x = 29,583,646.43/6,056
  6. Step 6: Final answer
    x = 4,885.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.