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Finding the Fourth Proportional to 5,235.84, 7,854.96 and 1,773.04

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Solution

The fourth proportional to 5,235.84, 7,854.96 and 1,773.04 is: 2,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.84 : 7,854.96 = 1,773.04 : x
  2. Step 2: Convert to fraction form
    5,235.84/7,854.96 = 1,773.04/x
  3. Step 3: Cross multiply
    5,235.84x = 7,854.96 × 1,773.04
  4. Step 4: Simplify right side
    5,235.84x = 13,927,158.28
  5. Step 5: Solve for x
    x = 13,927,158.28/5,235.84
  6. Step 6: Final answer
    x = 2,659.97

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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.