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Finding the Fourth Proportional to 5,692.40, 7,857.02 and 5,101.91

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Solution

The fourth proportional to 5,692.40, 7,857.02 and 5,101.91 is: 7,041.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.40 : 7,857.02 = 5,101.91 : x
  2. Step 2: Convert to fraction form
    5,692.40/7,857.02 = 5,101.91/x
  3. Step 3: Cross multiply
    5,692.40x = 7,857.02 × 5,101.91
  4. Step 4: Simplify right side
    5,692.40x = 40,085,783.40
  5. Step 5: Solve for x
    x = 40,085,783.40/5,692.40
  6. Step 6: Final answer
    x = 7,041.98

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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.