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Finding the Fourth Proportional to 5,730.30, 8,598.34 and 2,609.88

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Solution

The fourth proportional to 5,730.30, 8,598.34 and 2,609.88 is: 3,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.30 : 8,598.34 = 2,609.88 : x
  2. Step 2: Convert to fraction form
    5,730.30/8,598.34 = 2,609.88/x
  3. Step 3: Cross multiply
    5,730.30x = 8,598.34 × 2,609.88
  4. Step 4: Simplify right side
    5,730.30x = 22,440,635.60
  5. Step 5: Solve for x
    x = 22,440,635.60/5,730.30
  6. Step 6: Final answer
    x = 3,916.14

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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.