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Finding the Fourth Proportional to 5,670.84, 7,825.64 and 3,152.94

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Solution

The fourth proportional to 5,670.84, 7,825.64 and 3,152.94 is: 4,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.84 : 7,825.64 = 3,152.94 : x
  2. Step 2: Convert to fraction form
    5,670.84/7,825.64 = 3,152.94/x
  3. Step 3: Cross multiply
    5,670.84x = 7,825.64 × 3,152.94
  4. Step 4: Simplify right side
    5,670.84x = 24,673,773.38
  5. Step 5: Solve for x
    x = 24,673,773.38/5,670.84
  6. Step 6: Final answer
    x = 4,350.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.