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Finding the Fourth Proportional to 3,492.83, 5,240.32 and 1,412.45

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Solution

The fourth proportional to 3,492.83, 5,240.32 and 1,412.45 is: 2,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.83 : 5,240.32 = 1,412.45 : x
  2. Step 2: Convert to fraction form
    3,492.83/5,240.32 = 1,412.45/x
  3. Step 3: Cross multiply
    3,492.83x = 5,240.32 × 1,412.45
  4. Step 4: Simplify right side
    3,492.83x = 7,401,679.90
  5. Step 5: Solve for x
    x = 7,401,679.90/3,492.83
  6. Step 6: Final answer
    x = 2,119.11

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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.