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Finding the Fourth Proportional to 3,323.64, 4,986.06 and 1,376

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Solution

The fourth proportional to 3,323.64, 4,986.06 and 1,376 is: 2,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.64 : 4,986.06 = 1,376 : x
  2. Step 2: Convert to fraction form
    3,323.64/4,986.06 = 1,376/x
  3. Step 3: Cross multiply
    3,323.64x = 4,986.06 × 1,376
  4. Step 4: Simplify right side
    3,323.64x = 6,860,818.56
  5. Step 5: Solve for x
    x = 6,860,818.56/3,323.64
  6. Step 6: Final answer
    x = 2,064.25

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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.