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Finding the Fourth Proportional to 5,685.52, 8,533.44 and 2,914.16

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Solution

The fourth proportional to 5,685.52, 8,533.44 and 2,914.16 is: 4,373.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.52 : 8,533.44 = 2,914.16 : x
  2. Step 2: Convert to fraction form
    5,685.52/8,533.44 = 2,914.16/x
  3. Step 3: Cross multiply
    5,685.52x = 8,533.44 × 2,914.16
  4. Step 4: Simplify right side
    5,685.52x = 24,867,809.51
  5. Step 5: Solve for x
    x = 24,867,809.51/5,685.52
  6. Step 6: Final answer
    x = 4,373.88

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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.