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Finding the Fourth Proportional to 3,492.96, 5,240.52 and 1,186.08

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Solution

The fourth proportional to 3,492.96, 5,240.52 and 1,186.08 is: 1,779.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.96 : 5,240.52 = 1,186.08 : x
  2. Step 2: Convert to fraction form
    3,492.96/5,240.52 = 1,186.08/x
  3. Step 3: Cross multiply
    3,492.96x = 5,240.52 × 1,186.08
  4. Step 4: Simplify right side
    3,492.96x = 6,215,675.96
  5. Step 5: Solve for x
    x = 6,215,675.96/3,492.96
  6. Step 6: Final answer
    x = 1,779.49

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Why These Related Problems?

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