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Finding the Fourth Proportional to 5,235.76, 7,225.50 and 3,140.56

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Solution

The fourth proportional to 5,235.76, 7,225.50 and 3,140.56 is: 4,334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.76 : 7,225.50 = 3,140.56 : x
  2. Step 2: Convert to fraction form
    5,235.76/7,225.50 = 3,140.56/x
  3. Step 3: Cross multiply
    5,235.76x = 7,225.50 × 3,140.56
  4. Step 4: Simplify right side
    5,235.76x = 22,692,116.28
  5. Step 5: Solve for x
    x = 22,692,116.28/5,235.76
  6. Step 6: Final answer
    x = 4,334.06

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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.