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Finding the Fourth Proportional to 3,135.84, 4,700.52 and 1,404.96

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Solution

The fourth proportional to 3,135.84, 4,700.52 and 1,404.96 is: 2,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.84 : 4,700.52 = 1,404.96 : x
  2. Step 2: Convert to fraction form
    3,135.84/4,700.52 = 1,404.96/x
  3. Step 3: Cross multiply
    3,135.84x = 4,700.52 × 1,404.96
  4. Step 4: Simplify right side
    3,135.84x = 6,604,042.58
  5. Step 5: Solve for x
    x = 6,604,042.58/3,135.84
  6. Step 6: Final answer
    x = 2,105.99

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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.