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Finding the Fourth Proportional to 5,102.14, 7,045.89 and 4,396.90

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Solution

The fourth proportional to 5,102.14, 7,045.89 and 4,396.90 is: 6,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.14 : 7,045.89 = 4,396.90 : x
  2. Step 2: Convert to fraction form
    5,102.14/7,045.89 = 4,396.90/x
  3. Step 3: Cross multiply
    5,102.14x = 7,045.89 × 4,396.90
  4. Step 4: Simplify right side
    5,102.14x = 30,980,073.74
  5. Step 5: Solve for x
    x = 30,980,073.74/5,102.14
  6. Step 6: Final answer
    x = 6,071.98

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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.