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Finding the Fourth Proportional to 5,127.84, 7,071.28 and 4,850.32

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Solution

The fourth proportional to 5,127.84, 7,071.28 and 4,850.32 is: 6,688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.84 : 7,071.28 = 4,850.32 : x
  2. Step 2: Convert to fraction form
    5,127.84/7,071.28 = 4,850.32/x
  3. Step 3: Cross multiply
    5,127.84x = 7,071.28 × 4,850.32
  4. Step 4: Simplify right side
    5,127.84x = 34,297,970.81
  5. Step 5: Solve for x
    x = 34,297,970.81/5,127.84
  6. Step 6: Final answer
    x = 6,688.58

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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.