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Finding the Fourth Proportional to 4,152.90, 5,730.96 and 2,289.90

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Solution

The fourth proportional to 4,152.90, 5,730.96 and 2,289.90 is: 3,160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.90 : 5,730.96 = 2,289.90 : x
  2. Step 2: Convert to fraction form
    4,152.90/5,730.96 = 2,289.90/x
  3. Step 3: Cross multiply
    4,152.90x = 5,730.96 × 2,289.90
  4. Step 4: Simplify right side
    4,152.90x = 13,123,325.30
  5. Step 5: Solve for x
    x = 13,123,325.30/4,152.90
  6. Step 6: Final answer
    x = 3,160.04

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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.