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Finding the Fourth Proportional to 5,193.50, 7,162.98 and 4,596.63

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Solution

The fourth proportional to 5,193.50, 7,162.98 and 4,596.63 is: 6,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.50 : 7,162.98 = 4,596.63 : x
  2. Step 2: Convert to fraction form
    5,193.50/7,162.98 = 4,596.63/x
  3. Step 3: Cross multiply
    5,193.50x = 7,162.98 × 4,596.63
  4. Step 4: Simplify right side
    5,193.50x = 32,925,568.76
  5. Step 5: Solve for x
    x = 32,925,568.76/5,193.50
  6. Step 6: Final answer
    x = 6,339.77

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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.