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Finding the Fourth Proportional to 3,095.76, 4,643.67 and 2,478.66

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Solution

The fourth proportional to 3,095.76, 4,643.67 and 2,478.66 is: 3,718.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.76 : 4,643.67 = 2,478.66 : x
  2. Step 2: Convert to fraction form
    3,095.76/4,643.67 = 2,478.66/x
  3. Step 3: Cross multiply
    3,095.76x = 4,643.67 × 2,478.66
  4. Step 4: Simplify right side
    3,095.76x = 11,510,079.08
  5. Step 5: Solve for x
    x = 11,510,079.08/3,095.76
  6. Step 6: Final answer
    x = 3,718.01

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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.