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Finding the Fourth Proportional to 5,830.44, 8,024.18 and 5,358.36

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Solution

The fourth proportional to 5,830.44, 8,024.18 and 5,358.36 is: 7,374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.44 : 8,024.18 = 5,358.36 : x
  2. Step 2: Convert to fraction form
    5,830.44/8,024.18 = 5,358.36/x
  3. Step 3: Cross multiply
    5,830.44x = 8,024.18 × 5,358.36
  4. Step 4: Simplify right side
    5,830.44x = 42,996,445.14
  5. Step 5: Solve for x
    x = 42,996,445.14/5,830.44
  6. Step 6: Final answer
    x = 7,374.48

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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.