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Finding the Fourth Proportional to 4,596.19, 6,894.92 and 1,475.46

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Solution

The fourth proportional to 4,596.19, 6,894.92 and 1,475.46 is: 2,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.19 : 6,894.92 = 1,475.46 : x
  2. Step 2: Convert to fraction form
    4,596.19/6,894.92 = 1,475.46/x
  3. Step 3: Cross multiply
    4,596.19x = 6,894.92 × 1,475.46
  4. Step 4: Simplify right side
    4,596.19x = 10,173,178.66
  5. Step 5: Solve for x
    x = 10,173,178.66/4,596.19
  6. Step 6: Final answer
    x = 2,213.39

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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.