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Finding the Fourth Proportional to 4,719.40, 7,077.30 and 1,431.40

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Solution

The fourth proportional to 4,719.40, 7,077.30 and 1,431.40 is: 2,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.40 : 7,077.30 = 1,431.40 : x
  2. Step 2: Convert to fraction form
    4,719.40/7,077.30 = 1,431.40/x
  3. Step 3: Cross multiply
    4,719.40x = 7,077.30 × 1,431.40
  4. Step 4: Simplify right side
    4,719.40x = 10,130,447.22
  5. Step 5: Solve for x
    x = 10,130,447.22/4,719.40
  6. Step 6: Final answer
    x = 2,146.55

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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.