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Finding the Fourth Proportional to 5,102.69, 7,038.74 and 3,331.22

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Solution

The fourth proportional to 5,102.69, 7,038.74 and 3,331.22 is: 4,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.69 : 7,038.74 = 3,331.22 : x
  2. Step 2: Convert to fraction form
    5,102.69/7,038.74 = 3,331.22/x
  3. Step 3: Cross multiply
    5,102.69x = 7,038.74 × 3,331.22
  4. Step 4: Simplify right side
    5,102.69x = 23,447,539.61
  5. Step 5: Solve for x
    x = 23,447,539.61/5,102.69
  6. Step 6: Final answer
    x = 4,595.14

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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.