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Finding the Fourth Proportional to 6,507.77, 8,980.74 and 3,523.58

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Solution

The fourth proportional to 6,507.77, 8,980.74 and 3,523.58 is: 4,862.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.77 : 8,980.74 = 3,523.58 : x
  2. Step 2: Convert to fraction form
    6,507.77/8,980.74 = 3,523.58/x
  3. Step 3: Cross multiply
    6,507.77x = 8,980.74 × 3,523.58
  4. Step 4: Simplify right side
    6,507.77x = 31,644,355.85
  5. Step 5: Solve for x
    x = 31,644,355.85/6,507.77
  6. Step 6: Final answer
    x = 4,862.55

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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.