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Finding the Fourth Proportional to 5,346, 7,380.36 and 3,692.88

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Solution

The fourth proportional to 5,346, 7,380.36 and 3,692.88 is: 5,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346 : 7,380.36 = 3,692.88 : x
  2. Step 2: Convert to fraction form
    5,346/7,380.36 = 3,692.88/x
  3. Step 3: Cross multiply
    5,346x = 7,380.36 × 3,692.88
  4. Step 4: Simplify right side
    5,346x = 27,254,783.84
  5. Step 5: Solve for x
    x = 27,254,783.84/5,346
  6. Step 6: Final answer
    x = 5,098.16

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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.