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Finding the Fourth Proportional to 4,378.57, 6,570.35 and 1,604.88

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Solution

The fourth proportional to 4,378.57, 6,570.35 and 1,604.88 is: 2,408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378.57 : 6,570.35 = 1,604.88 : x
  2. Step 2: Convert to fraction form
    4,378.57/6,570.35 = 1,604.88/x
  3. Step 3: Cross multiply
    4,378.57x = 6,570.35 × 1,604.88
  4. Step 4: Simplify right side
    4,378.57x = 10,544,623.31
  5. Step 5: Solve for x
    x = 10,544,623.31/4,378.57
  6. Step 6: Final answer
    x = 2,408.23

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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.