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Finding the Fourth Proportional to 4,224.07, 6,336.09 and 1,146.07

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Solution

The fourth proportional to 4,224.07, 6,336.09 and 1,146.07 is: 1,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.07 : 6,336.09 = 1,146.07 : x
  2. Step 2: Convert to fraction form
    4,224.07/6,336.09 = 1,146.07/x
  3. Step 3: Cross multiply
    4,224.07x = 6,336.09 × 1,146.07
  4. Step 4: Simplify right side
    4,224.07x = 7,261,602.67
  5. Step 5: Solve for x
    x = 7,261,602.67/4,224.07
  6. Step 6: Final answer
    x = 1,719.10

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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.