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Finding the Fourth Proportional to 3,035.94, 4,554.08 and 956.11

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Solution

The fourth proportional to 3,035.94, 4,554.08 and 956.11 is: 1,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.94 : 4,554.08 = 956.11 : x
  2. Step 2: Convert to fraction form
    3,035.94/4,554.08 = 956.11/x
  3. Step 3: Cross multiply
    3,035.94x = 4,554.08 × 956.11
  4. Step 4: Simplify right side
    3,035.94x = 4,354,194.70
  5. Step 5: Solve for x
    x = 4,354,194.70/3,035.94
  6. Step 6: Final answer
    x = 1,434.21

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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.