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Finding the Fourth Proportional to 4,492.40, 6,186.11 and 4,392.82

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Solution

The fourth proportional to 4,492.40, 6,186.11 and 4,392.82 is: 6,048.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.40 : 6,186.11 = 4,392.82 : x
  2. Step 2: Convert to fraction form
    4,492.40/6,186.11 = 4,392.82/x
  3. Step 3: Cross multiply
    4,492.40x = 6,186.11 × 4,392.82
  4. Step 4: Simplify right side
    4,492.40x = 27,174,463.25
  5. Step 5: Solve for x
    x = 27,174,463.25/4,492.40
  6. Step 6: Final answer
    x = 6,048.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.