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Finding the Fourth Proportional to 5,584.32, 7,688.80 and 4,743.28

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Solution

The fourth proportional to 5,584.32, 7,688.80 and 4,743.28 is: 6,530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.32 : 7,688.80 = 4,743.28 : x
  2. Step 2: Convert to fraction form
    5,584.32/7,688.80 = 4,743.28/x
  3. Step 3: Cross multiply
    5,584.32x = 7,688.80 × 4,743.28
  4. Step 4: Simplify right side
    5,584.32x = 36,470,131.26
  5. Step 5: Solve for x
    x = 36,470,131.26/5,584.32
  6. Step 6: Final answer
    x = 6,530.81

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