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Finding the Fourth Proportional to 4,574.96, 6,866.08 and 1,802.33

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Solution

The fourth proportional to 4,574.96, 6,866.08 and 1,802.33 is: 2,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.96 : 6,866.08 = 1,802.33 : x
  2. Step 2: Convert to fraction form
    4,574.96/6,866.08 = 1,802.33/x
  3. Step 3: Cross multiply
    4,574.96x = 6,866.08 × 1,802.33
  4. Step 4: Simplify right side
    4,574.96x = 12,374,903.13
  5. Step 5: Solve for x
    x = 12,374,903.13/4,574.96
  6. Step 6: Final answer
    x = 2,704.92

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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.