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Finding the Fourth Proportional to 3,434.66, 5,152.02 and 1,244.06

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Solution

The fourth proportional to 3,434.66, 5,152.02 and 1,244.06 is: 1,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.66 : 5,152.02 = 1,244.06 : x
  2. Step 2: Convert to fraction form
    3,434.66/5,152.02 = 1,244.06/x
  3. Step 3: Cross multiply
    3,434.66x = 5,152.02 × 1,244.06
  4. Step 4: Simplify right side
    3,434.66x = 6,409,422.00
  5. Step 5: Solve for x
    x = 6,409,422.00/3,434.66
  6. Step 6: Final answer
    x = 1,866.10

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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.