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Finding the Fourth Proportional to 4,213, 5,813.94 and 2,350.36

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Solution

The fourth proportional to 4,213, 5,813.94 and 2,350.36 is: 3,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213 : 5,813.94 = 2,350.36 : x
  2. Step 2: Convert to fraction form
    4,213/5,813.94 = 2,350.36/x
  3. Step 3: Cross multiply
    4,213x = 5,813.94 × 2,350.36
  4. Step 4: Simplify right side
    4,213x = 13,664,852.02
  5. Step 5: Solve for x
    x = 13,664,852.02/4,213
  6. Step 6: Final answer
    x = 3,243.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.