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Finding the Fourth Proportional to 4,191.58, 6,288.18 and 1,596.34

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Solution

The fourth proportional to 4,191.58, 6,288.18 and 1,596.34 is: 2,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.58 : 6,288.18 = 1,596.34 : x
  2. Step 2: Convert to fraction form
    4,191.58/6,288.18 = 1,596.34/x
  3. Step 3: Cross multiply
    4,191.58x = 6,288.18 × 1,596.34
  4. Step 4: Simplify right side
    4,191.58x = 10,038,073.26
  5. Step 5: Solve for x
    x = 10,038,073.26/4,191.58
  6. Step 6: Final answer
    x = 2,394.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.