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Finding the Fourth Proportional to 5,265.86, 7,263.64 and 3,140.03

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Solution

The fourth proportional to 5,265.86, 7,263.64 and 3,140.03 is: 4,331.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.86 : 7,263.64 = 3,140.03 : x
  2. Step 2: Convert to fraction form
    5,265.86/7,263.64 = 3,140.03/x
  3. Step 3: Cross multiply
    5,265.86x = 7,263.64 × 3,140.03
  4. Step 4: Simplify right side
    5,265.86x = 22,808,003.34
  5. Step 5: Solve for x
    x = 22,808,003.34/5,265.86
  6. Step 6: Final answer
    x = 4,331.30

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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.