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Finding the Fourth Proportional to 3,496.96, 4,826.04 and 1,925.05

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Solution

The fourth proportional to 3,496.96, 4,826.04 and 1,925.05 is: 2,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.96 : 4,826.04 = 1,925.05 : x
  2. Step 2: Convert to fraction form
    3,496.96/4,826.04 = 1,925.05/x
  3. Step 3: Cross multiply
    3,496.96x = 4,826.04 × 1,925.05
  4. Step 4: Simplify right side
    3,496.96x = 9,290,368.30
  5. Step 5: Solve for x
    x = 9,290,368.30/3,496.96
  6. Step 6: Final answer
    x = 2,656.70

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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.