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Finding the Fourth Proportional to 5,495.56, 7,584.36 and 3,138.46

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Solution

The fourth proportional to 5,495.56, 7,584.36 and 3,138.46 is: 4,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.56 : 7,584.36 = 3,138.46 : x
  2. Step 2: Convert to fraction form
    5,495.56/7,584.36 = 3,138.46/x
  3. Step 3: Cross multiply
    5,495.56x = 7,584.36 × 3,138.46
  4. Step 4: Simplify right side
    5,495.56x = 23,803,210.49
  5. Step 5: Solve for x
    x = 23,803,210.49/5,495.56
  6. Step 6: Final answer
    x = 4,331.35

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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.