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Finding the Fourth Proportional to 4,554.64, 6,831.15 and 1,266.85

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Solution

The fourth proportional to 4,554.64, 6,831.15 and 1,266.85 is: 1,900.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,554.64 : 6,831.15 = 1,266.85 : x
  2. Step 2: Convert to fraction form
    4,554.64/6,831.15 = 1,266.85/x
  3. Step 3: Cross multiply
    4,554.64x = 6,831.15 × 1,266.85
  4. Step 4: Simplify right side
    4,554.64x = 8,654,042.38
  5. Step 5: Solve for x
    x = 8,654,042.38/4,554.64
  6. Step 6: Final answer
    x = 1,900.05

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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.