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Finding the Fourth Proportional to 6,077.34, 8,386.74 and 3,525.59

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Solution

The fourth proportional to 6,077.34, 8,386.74 and 3,525.59 is: 4,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.34 : 8,386.74 = 3,525.59 : x
  2. Step 2: Convert to fraction form
    6,077.34/8,386.74 = 3,525.59/x
  3. Step 3: Cross multiply
    6,077.34x = 8,386.74 × 3,525.59
  4. Step 4: Simplify right side
    6,077.34x = 29,568,227.64
  5. Step 5: Solve for x
    x = 29,568,227.64/6,077.34
  6. Step 6: Final answer
    x = 4,865.32

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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.