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Finding the Fourth Proportional to 4,368.50, 6,553.86 and 1,290.50

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Solution

The fourth proportional to 4,368.50, 6,553.86 and 1,290.50 is: 1,936.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368.50 : 6,553.86 = 1,290.50 : x
  2. Step 2: Convert to fraction form
    4,368.50/6,553.86 = 1,290.50/x
  3. Step 3: Cross multiply
    4,368.50x = 6,553.86 × 1,290.50
  4. Step 4: Simplify right side
    4,368.50x = 8,457,756.33
  5. Step 5: Solve for x
    x = 8,457,756.33/4,368.50
  6. Step 6: Final answer
    x = 1,936.08

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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.