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Finding the Fourth Proportional to 5,670.42, 7,824.59 and 3,152.13

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Solution

The fourth proportional to 5,670.42, 7,824.59 and 3,152.13 is: 4,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.42 : 7,824.59 = 3,152.13 : x
  2. Step 2: Convert to fraction form
    5,670.42/7,824.59 = 3,152.13/x
  3. Step 3: Cross multiply
    5,670.42x = 7,824.59 × 3,152.13
  4. Step 4: Simplify right side
    5,670.42x = 24,664,108.14
  5. Step 5: Solve for x
    x = 24,664,108.14/5,670.42
  6. Step 6: Final answer
    x = 4,349.61

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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.