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Finding the Fourth Proportional to 5,315.56, 7,973.46 and 1,617.64

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Solution

The fourth proportional to 5,315.56, 7,973.46 and 1,617.64 is: 2,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.56 : 7,973.46 = 1,617.64 : x
  2. Step 2: Convert to fraction form
    5,315.56/7,973.46 = 1,617.64/x
  3. Step 3: Cross multiply
    5,315.56x = 7,973.46 × 1,617.64
  4. Step 4: Simplify right side
    5,315.56x = 12,898,187.83
  5. Step 5: Solve for x
    x = 12,898,187.83/5,315.56
  6. Step 6: Final answer
    x = 2,426.50

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Why These Related Problems?

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