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Finding the Fourth Proportional to 4,725.42, 7,087.86 and 1,804.02

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Solution

The fourth proportional to 4,725.42, 7,087.86 and 1,804.02 is: 2,705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.42 : 7,087.86 = 1,804.02 : x
  2. Step 2: Convert to fraction form
    4,725.42/7,087.86 = 1,804.02/x
  3. Step 3: Cross multiply
    4,725.42x = 7,087.86 × 1,804.02
  4. Step 4: Simplify right side
    4,725.42x = 12,786,641.20
  5. Step 5: Solve for x
    x = 12,786,641.20/4,725.42
  6. Step 6: Final answer
    x = 2,705.93

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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.