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Finding the Fourth Proportional to 3,484.54, 5,228.84 and 1,405.45

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Solution

The fourth proportional to 3,484.54, 5,228.84 and 1,405.45 is: 2,108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.54 : 5,228.84 = 1,405.45 : x
  2. Step 2: Convert to fraction form
    3,484.54/5,228.84 = 1,405.45/x
  3. Step 3: Cross multiply
    3,484.54x = 5,228.84 × 1,405.45
  4. Step 4: Simplify right side
    3,484.54x = 7,348,873.18
  5. Step 5: Solve for x
    x = 7,348,873.18/3,484.54
  6. Step 6: Final answer
    x = 2,108.99

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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.