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Finding the Fourth Proportional to 3,506, 5,256.15 and 1,426.98

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Solution

The fourth proportional to 3,506, 5,256.15 and 1,426.98 is: 2,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506 : 5,256.15 = 1,426.98 : x
  2. Step 2: Convert to fraction form
    3,506/5,256.15 = 1,426.98/x
  3. Step 3: Cross multiply
    3,506x = 5,256.15 × 1,426.98
  4. Step 4: Simplify right side
    3,506x = 7,500,420.93
  5. Step 5: Solve for x
    x = 7,500,420.93/3,506
  6. Step 6: Final answer
    x = 2,139.31

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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.