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Finding the Fourth Proportional to 5,509.60, 8,216.60 and 4,693.12

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Solution

The fourth proportional to 5,509.60, 8,216.60 and 4,693.12 is: 6,998.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.60 : 8,216.60 = 4,693.12 : x
  2. Step 2: Convert to fraction form
    5,509.60/8,216.60 = 4,693.12/x
  3. Step 3: Cross multiply
    5,509.60x = 8,216.60 × 4,693.12
  4. Step 4: Simplify right side
    5,509.60x = 38,561,489.79
  5. Step 5: Solve for x
    x = 38,561,489.79/5,509.60
  6. Step 6: Final answer
    x = 6,998.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.