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Finding the Fourth Proportional to 5,252.56, 7,838.18 and 4,670.80

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Solution

The fourth proportional to 5,252.56, 7,838.18 and 4,670.80 is: 6,970.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.56 : 7,838.18 = 4,670.80 : x
  2. Step 2: Convert to fraction form
    5,252.56/7,838.18 = 4,670.80/x
  3. Step 3: Cross multiply
    5,252.56x = 7,838.18 × 4,670.80
  4. Step 4: Simplify right side
    5,252.56x = 36,610,571.14
  5. Step 5: Solve for x
    x = 36,610,571.14/5,252.56
  6. Step 6: Final answer
    x = 6,970.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.