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Finding the Fourth Proportional to 3,492.96, 4,820.58 and 1,921.38

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Solution

The fourth proportional to 3,492.96, 4,820.58 and 1,921.38 is: 2,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.96 : 4,820.58 = 1,921.38 : x
  2. Step 2: Convert to fraction form
    3,492.96/4,820.58 = 1,921.38/x
  3. Step 3: Cross multiply
    3,492.96x = 4,820.58 × 1,921.38
  4. Step 4: Simplify right side
    3,492.96x = 9,262,166.00
  5. Step 5: Solve for x
    x = 9,262,166.00/3,492.96
  6. Step 6: Final answer
    x = 2,651.67

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Why These Related Problems?

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