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Finding the Fourth Proportional to 4,713.69, 7,070.90 and 1,427.05

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Solution

The fourth proportional to 4,713.69, 7,070.90 and 1,427.05 is: 2,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.69 : 7,070.90 = 1,427.05 : x
  2. Step 2: Convert to fraction form
    4,713.69/7,070.90 = 1,427.05/x
  3. Step 3: Cross multiply
    4,713.69x = 7,070.90 × 1,427.05
  4. Step 4: Simplify right side
    4,713.69x = 10,090,529.55
  5. Step 5: Solve for x
    x = 10,090,529.55/4,713.69
  6. Step 6: Final answer
    x = 2,140.68

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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.