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Finding the Fourth Proportional to 5,146.12, 7,713.06 and 4,555.60

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Solution

The fourth proportional to 5,146.12, 7,713.06 and 4,555.60 is: 6,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.12 : 7,713.06 = 4,555.60 : x
  2. Step 2: Convert to fraction form
    5,146.12/7,713.06 = 4,555.60/x
  3. Step 3: Cross multiply
    5,146.12x = 7,713.06 × 4,555.60
  4. Step 4: Simplify right side
    5,146.12x = 35,137,616.14
  5. Step 5: Solve for x
    x = 35,137,616.14/5,146.12
  6. Step 6: Final answer
    x = 6,827.98

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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.