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Finding the Fourth Proportional to 5,929, 8,182.74 and 3,445

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Solution

The fourth proportional to 5,929, 8,182.74 and 3,445 is: 4,754.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929 : 8,182.74 = 3,445 : x
  2. Step 2: Convert to fraction form
    5,929/8,182.74 = 3,445/x
  3. Step 3: Cross multiply
    5,929x = 8,182.74 × 3,445
  4. Step 4: Simplify right side
    5,929x = 28,189,539.30
  5. Step 5: Solve for x
    x = 28,189,539.30/5,929
  6. Step 6: Final answer
    x = 4,754.52

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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.