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Finding the Fourth Proportional to 5,820.75, 8,731.17 and 2,358

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Solution

The fourth proportional to 5,820.75, 8,731.17 and 2,358 is: 3,537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.75 : 8,731.17 = 2,358 : x
  2. Step 2: Convert to fraction form
    5,820.75/8,731.17 = 2,358/x
  3. Step 3: Cross multiply
    5,820.75x = 8,731.17 × 2,358
  4. Step 4: Simplify right side
    5,820.75x = 20,588,098.86
  5. Step 5: Solve for x
    x = 20,588,098.86/5,820.75
  6. Step 6: Final answer
    x = 3,537.02

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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.