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Finding the Fourth Proportional to 5,432.58, 7,497.05 and 3,194.51

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Solution

The fourth proportional to 5,432.58, 7,497.05 and 3,194.51 is: 4,408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.58 : 7,497.05 = 3,194.51 : x
  2. Step 2: Convert to fraction form
    5,432.58/7,497.05 = 3,194.51/x
  3. Step 3: Cross multiply
    5,432.58x = 7,497.05 × 3,194.51
  4. Step 4: Simplify right side
    5,432.58x = 23,949,347.74
  5. Step 5: Solve for x
    x = 23,949,347.74/5,432.58
  6. Step 6: Final answer
    x = 4,408.47

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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.