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Finding the Fourth Proportional to 3,135.01, 4,703.15 and 913.84

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Solution

The fourth proportional to 3,135.01, 4,703.15 and 913.84 is: 1,370.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.01 : 4,703.15 = 913.84 : x
  2. Step 2: Convert to fraction form
    3,135.01/4,703.15 = 913.84/x
  3. Step 3: Cross multiply
    3,135.01x = 4,703.15 × 913.84
  4. Step 4: Simplify right side
    3,135.01x = 4,297,911.98
  5. Step 5: Solve for x
    x = 4,297,911.98/3,135.01
  6. Step 6: Final answer
    x = 1,370.94

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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.