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Finding the Fourth Proportional to 5,135.58, 7,707.06 and 3,840.48

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Solution

The fourth proportional to 5,135.58, 7,707.06 and 3,840.48 is: 5,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.58 : 7,707.06 = 3,840.48 : x
  2. Step 2: Convert to fraction form
    5,135.58/7,707.06 = 3,840.48/x
  3. Step 3: Cross multiply
    5,135.58x = 7,707.06 × 3,840.48
  4. Step 4: Simplify right side
    5,135.58x = 29,598,809.79
  5. Step 5: Solve for x
    x = 29,598,809.79/5,135.58
  6. Step 6: Final answer
    x = 5,763.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.