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Finding the Fourth Proportional to 4,596.90, 6,895.35 and 3,785.28

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Solution

The fourth proportional to 4,596.90, 6,895.35 and 3,785.28 is: 5,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.90 : 6,895.35 = 3,785.28 : x
  2. Step 2: Convert to fraction form
    4,596.90/6,895.35 = 3,785.28/x
  3. Step 3: Cross multiply
    4,596.90x = 6,895.35 × 3,785.28
  4. Step 4: Simplify right side
    4,596.90x = 26,100,830.45
  5. Step 5: Solve for x
    x = 26,100,830.45/4,596.90
  6. Step 6: Final answer
    x = 5,677.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.