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Finding the Fourth Proportional to 6,346.90, 8,758.56 and 3,695.77

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Solution

The fourth proportional to 6,346.90, 8,758.56 and 3,695.77 is: 5,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.90 : 8,758.56 = 3,695.77 : x
  2. Step 2: Convert to fraction form
    6,346.90/8,758.56 = 3,695.77/x
  3. Step 3: Cross multiply
    6,346.90x = 8,758.56 × 3,695.77
  4. Step 4: Simplify right side
    6,346.90x = 32,369,623.29
  5. Step 5: Solve for x
    x = 32,369,623.29/6,346.90
  6. Step 6: Final answer
    x = 5,100.07

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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.