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Finding the Fourth Proportional to 5,829.96, 8,026.74 and 5,432.52

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Solution

The fourth proportional to 5,829.96, 8,026.74 and 5,432.52 is: 7,479.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.96 : 8,026.74 = 5,432.52 : x
  2. Step 2: Convert to fraction form
    5,829.96/8,026.74 = 5,432.52/x
  3. Step 3: Cross multiply
    5,829.96x = 8,026.74 × 5,432.52
  4. Step 4: Simplify right side
    5,829.96x = 43,605,425.58
  5. Step 5: Solve for x
    x = 43,605,425.58/5,829.96
  6. Step 6: Final answer
    x = 7,479.54

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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.