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Finding the Fourth Proportional to 4,690.90, 7,035.54 and 2,853.82

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Solution

The fourth proportional to 4,690.90, 7,035.54 and 2,853.82 is: 4,280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.90 : 7,035.54 = 2,853.82 : x
  2. Step 2: Convert to fraction form
    4,690.90/7,035.54 = 2,853.82/x
  3. Step 3: Cross multiply
    4,690.90x = 7,035.54 × 2,853.82
  4. Step 4: Simplify right side
    4,690.90x = 20,078,164.76
  5. Step 5: Solve for x
    x = 20,078,164.76/4,690.90
  6. Step 6: Final answer
    x = 4,280.24

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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.