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Finding the Fourth Proportional to 4,014.60, 5,539.62 and 2,313

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Solution

The fourth proportional to 4,014.60, 5,539.62 and 2,313 is: 3,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014.60 : 5,539.62 = 2,313 : x
  2. Step 2: Convert to fraction form
    4,014.60/5,539.62 = 2,313/x
  3. Step 3: Cross multiply
    4,014.60x = 5,539.62 × 2,313
  4. Step 4: Simplify right side
    4,014.60x = 12,813,141.06
  5. Step 5: Solve for x
    x = 12,813,141.06/4,014.60
  6. Step 6: Final answer
    x = 3,191.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.