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Finding the Fourth Proportional to 3,501.47, 5,254.02 and 1,423.01

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Solution

The fourth proportional to 3,501.47, 5,254.02 and 1,423.01 is: 2,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.47 : 5,254.02 = 1,423.01 : x
  2. Step 2: Convert to fraction form
    3,501.47/5,254.02 = 1,423.01/x
  3. Step 3: Cross multiply
    3,501.47x = 5,254.02 × 1,423.01
  4. Step 4: Simplify right side
    3,501.47x = 7,476,496.73
  5. Step 5: Solve for x
    x = 7,476,496.73/3,501.47
  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.