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Finding the Fourth Proportional to 3,492.96, 4,820.24 and 1,899.65

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Solution

The fourth proportional to 3,492.96, 4,820.24 and 1,899.65 is: 2,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.96 : 4,820.24 = 1,899.65 : x
  2. Step 2: Convert to fraction form
    3,492.96/4,820.24 = 1,899.65/x
  3. Step 3: Cross multiply
    3,492.96x = 4,820.24 × 1,899.65
  4. Step 4: Simplify right side
    3,492.96x = 9,156,785.72
  5. Step 5: Solve for x
    x = 9,156,785.72/3,492.96
  6. Step 6: Final answer
    x = 2,621.50

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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.