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Finding the Fourth Proportional to 4,746.27, 7,118.87 and 1,283.25

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Solution

The fourth proportional to 4,746.27, 7,118.87 and 1,283.25 is: 1,924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.27 : 7,118.87 = 1,283.25 : x
  2. Step 2: Convert to fraction form
    4,746.27/7,118.87 = 1,283.25/x
  3. Step 3: Cross multiply
    4,746.27x = 7,118.87 × 1,283.25
  4. Step 4: Simplify right side
    4,746.27x = 9,135,283.51
  5. Step 5: Solve for x
    x = 9,135,283.51/4,746.27
  6. Step 6: Final answer
    x = 1,924.73

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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.