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Finding the Fourth Proportional to 5,495, 7,583.20 and 4,002.44

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Solution

The fourth proportional to 5,495, 7,583.20 and 4,002.44 is: 5,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495 : 7,583.20 = 4,002.44 : x
  2. Step 2: Convert to fraction form
    5,495/7,583.20 = 4,002.44/x
  3. Step 3: Cross multiply
    5,495x = 7,583.20 × 4,002.44
  4. Step 4: Simplify right side
    5,495x = 30,351,303.01
  5. Step 5: Solve for x
    x = 30,351,303.01/5,495
  6. Step 6: Final answer
    x = 5,523.44

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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.