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Finding the Fourth Proportional to 3,095.93, 4,643.88 and 755.95

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Solution

The fourth proportional to 3,095.93, 4,643.88 and 755.95 is: 1,133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.93 : 4,643.88 = 755.95 : x
  2. Step 2: Convert to fraction form
    3,095.93/4,643.88 = 755.95/x
  3. Step 3: Cross multiply
    3,095.93x = 4,643.88 × 755.95
  4. Step 4: Simplify right side
    3,095.93x = 3,510,514.09
  5. Step 5: Solve for x
    x = 3,510,514.09/3,095.93
  6. Step 6: Final answer
    x = 1,133.91

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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.