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Finding the Fourth Proportional to 3,501.63, 5,254.07 and 1,423.06

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Solution

The fourth proportional to 3,501.63, 5,254.07 and 1,423.06 is: 2,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.63 : 5,254.07 = 1,423.06 : x
  2. Step 2: Convert to fraction form
    3,501.63/5,254.07 = 1,423.06/x
  3. Step 3: Cross multiply
    3,501.63x = 5,254.07 × 1,423.06
  4. Step 4: Simplify right side
    3,501.63x = 7,476,856.85
  5. Step 5: Solve for x
    x = 7,476,856.85/3,501.63
  6. Step 6: Final answer
    x = 2,135.25

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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.