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Finding the Fourth Proportional to 5,730, 8,598.84 and 2,082

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Solution

The fourth proportional to 5,730, 8,598.84 and 2,082 is: 3,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730 : 8,598.84 = 2,082 : x
  2. Step 2: Convert to fraction form
    5,730/8,598.84 = 2,082/x
  3. Step 3: Cross multiply
    5,730x = 8,598.84 × 2,082
  4. Step 4: Simplify right side
    5,730x = 17,902,784.88
  5. Step 5: Solve for x
    x = 17,902,784.88/5,730
  6. Step 6: Final answer
    x = 3,124.40

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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.