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Finding the Fourth Proportional to 4,534.81, 6,804.84 and 1,902.08

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Solution

The fourth proportional to 4,534.81, 6,804.84 and 1,902.08 is: 2,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.81 : 6,804.84 = 1,902.08 : x
  2. Step 2: Convert to fraction form
    4,534.81/6,804.84 = 1,902.08/x
  3. Step 3: Cross multiply
    4,534.81x = 6,804.84 × 1,902.08
  4. Step 4: Simplify right side
    4,534.81x = 12,943,347.05
  5. Step 5: Solve for x
    x = 12,943,347.05/4,534.81
  6. Step 6: Final answer
    x = 2,854.22

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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.