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Finding the Fourth Proportional to 4,713.57, 7,070.43 and 1,426.70

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Solution

The fourth proportional to 4,713.57, 7,070.43 and 1,426.70 is: 2,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.57 : 7,070.43 = 1,426.70 : x
  2. Step 2: Convert to fraction form
    4,713.57/7,070.43 = 1,426.70/x
  3. Step 3: Cross multiply
    4,713.57x = 7,070.43 × 1,426.70
  4. Step 4: Simplify right side
    4,713.57x = 10,087,347.13
  5. Step 5: Solve for x
    x = 10,087,347.13/4,713.57
  6. Step 6: Final answer
    x = 2,140.07

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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.