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Finding the Fourth Proportional to 6,184.84, 9,274.38 and 3,588.52

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Solution

The fourth proportional to 6,184.84, 9,274.38 and 3,588.52 is: 5,381.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.84 : 9,274.38 = 3,588.52 : x
  2. Step 2: Convert to fraction form
    6,184.84/9,274.38 = 3,588.52/x
  3. Step 3: Cross multiply
    6,184.84x = 9,274.38 × 3,588.52
  4. Step 4: Simplify right side
    6,184.84x = 33,281,298.12
  5. Step 5: Solve for x
    x = 33,281,298.12/6,184.84
  6. Step 6: Final answer
    x = 5,381.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.