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Finding the Fourth Proportional to 3,131.48, 4,688.10 and 3,040.35

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Solution

The fourth proportional to 3,131.48, 4,688.10 and 3,040.35 is: 4,551.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.48 : 4,688.10 = 3,040.35 : x
  2. Step 2: Convert to fraction form
    3,131.48/4,688.10 = 3,040.35/x
  3. Step 3: Cross multiply
    3,131.48x = 4,688.10 × 3,040.35
  4. Step 4: Simplify right side
    3,131.48x = 14,253,464.84
  5. Step 5: Solve for x
    x = 14,253,464.84/3,131.48
  6. Step 6: Final answer
    x = 4,551.68

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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.