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Finding the Fourth Proportional to 4,380.66, 6,565.95 and 1,914.90

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Solution

The fourth proportional to 4,380.66, 6,565.95 and 1,914.90 is: 2,870.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380.66 : 6,565.95 = 1,914.90 : x
  2. Step 2: Convert to fraction form
    4,380.66/6,565.95 = 1,914.90/x
  3. Step 3: Cross multiply
    4,380.66x = 6,565.95 × 1,914.90
  4. Step 4: Simplify right side
    4,380.66x = 12,573,137.66
  5. Step 5: Solve for x
    x = 12,573,137.66/4,380.66
  6. Step 6: Final answer
    x = 2,870.15

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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.