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Finding the Fourth Proportional to 3,355.42, 5,029.49 and 1,405.35

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Solution

The fourth proportional to 3,355.42, 5,029.49 and 1,405.35 is: 2,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.42 : 5,029.49 = 1,405.35 : x
  2. Step 2: Convert to fraction form
    3,355.42/5,029.49 = 1,405.35/x
  3. Step 3: Cross multiply
    3,355.42x = 5,029.49 × 1,405.35
  4. Step 4: Simplify right side
    3,355.42x = 7,068,193.77
  5. Step 5: Solve for x
    x = 7,068,193.77/3,355.42
  6. Step 6: Final answer
    x = 2,106.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.