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Finding the Fourth Proportional to 4,692.56, 7,039.74 and 1,405.58

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Solution

The fourth proportional to 4,692.56, 7,039.74 and 1,405.58 is: 2,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.56 : 7,039.74 = 1,405.58 : x
  2. Step 2: Convert to fraction form
    4,692.56/7,039.74 = 1,405.58/x
  3. Step 3: Cross multiply
    4,692.56x = 7,039.74 × 1,405.58
  4. Step 4: Simplify right side
    4,692.56x = 9,894,917.75
  5. Step 5: Solve for x
    x = 9,894,917.75/4,692.56
  6. Step 6: Final answer
    x = 2,108.64

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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.