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Finding the Fourth Proportional to 5,530.14, 7,630.83 and 4,582.44

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Solution

The fourth proportional to 5,530.14, 7,630.83 and 4,582.44 is: 6,323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.14 : 7,630.83 = 4,582.44 : x
  2. Step 2: Convert to fraction form
    5,530.14/7,630.83 = 4,582.44/x
  3. Step 3: Cross multiply
    5,530.14x = 7,630.83 × 4,582.44
  4. Step 4: Simplify right side
    5,530.14x = 34,967,820.63
  5. Step 5: Solve for x
    x = 34,967,820.63/5,530.14
  6. Step 6: Final answer
    x = 6,323.13

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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.