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Finding the Fourth Proportional to 3,664, 5,482.20 and 2,570.52

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Solution

The fourth proportional to 3,664, 5,482.20 and 2,570.52 is: 3,846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664 : 5,482.20 = 2,570.52 : x
  2. Step 2: Convert to fraction form
    3,664/5,482.20 = 2,570.52/x
  3. Step 3: Cross multiply
    3,664x = 5,482.20 × 2,570.52
  4. Step 4: Simplify right side
    3,664x = 14,092,104.74
  5. Step 5: Solve for x
    x = 14,092,104.74/3,664
  6. Step 6: Final answer
    x = 3,846.10

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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.