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Finding the Fourth Proportional to 4,055.76, 5,596.70 and 2,462.76

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Solution

The fourth proportional to 4,055.76, 5,596.70 and 2,462.76 is: 3,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.76 : 5,596.70 = 2,462.76 : x
  2. Step 2: Convert to fraction form
    4,055.76/5,596.70 = 2,462.76/x
  3. Step 3: Cross multiply
    4,055.76x = 5,596.70 × 2,462.76
  4. Step 4: Simplify right side
    4,055.76x = 13,783,316.58
  5. Step 5: Solve for x
    x = 13,783,316.58/4,055.76
  6. Step 6: Final answer
    x = 3,398.45

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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.