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Finding the Fourth Proportional to 3,670.17, 5,492.43 and 3,004.35

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Solution

The fourth proportional to 3,670.17, 5,492.43 and 3,004.35 is: 4,496.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.17 : 5,492.43 = 3,004.35 : x
  2. Step 2: Convert to fraction form
    3,670.17/5,492.43 = 3,004.35/x
  3. Step 3: Cross multiply
    3,670.17x = 5,492.43 × 3,004.35
  4. Step 4: Simplify right side
    3,670.17x = 16,501,182.07
  5. Step 5: Solve for x
    x = 16,501,182.07/3,670.17
  6. Step 6: Final answer
    x = 4,496.03

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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.