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Finding the Fourth Proportional to 4,718.95, 7,077.64 and 1,431.26

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Solution

The fourth proportional to 4,718.95, 7,077.64 and 1,431.26 is: 2,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.95 : 7,077.64 = 1,431.26 : x
  2. Step 2: Convert to fraction form
    4,718.95/7,077.64 = 1,431.26/x
  3. Step 3: Cross multiply
    4,718.95x = 7,077.64 × 1,431.26
  4. Step 4: Simplify right side
    4,718.95x = 10,129,943.03
  5. Step 5: Solve for x
    x = 10,129,943.03/4,718.95
  6. Step 6: Final answer
    x = 2,146.65

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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.