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Finding the Fourth Proportional to 5,692.82, 7,852.01 and 4,630.61

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Solution

The fourth proportional to 5,692.82, 7,852.01 and 4,630.61 is: 6,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.82 : 7,852.01 = 4,630.61 : x
  2. Step 2: Convert to fraction form
    5,692.82/7,852.01 = 4,630.61/x
  3. Step 3: Cross multiply
    5,692.82x = 7,852.01 × 4,630.61
  4. Step 4: Simplify right side
    5,692.82x = 36,359,533.61
  5. Step 5: Solve for x
    x = 36,359,533.61/5,692.82
  6. Step 6: Final answer
    x = 6,386.92

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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.