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Finding the Fourth Proportional to 4,673.57, 6,447.30 and 2,784.07

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Solution

The fourth proportional to 4,673.57, 6,447.30 and 2,784.07 is: 3,840.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.57 : 6,447.30 = 2,784.07 : x
  2. Step 2: Convert to fraction form
    4,673.57/6,447.30 = 2,784.07/x
  3. Step 3: Cross multiply
    4,673.57x = 6,447.30 × 2,784.07
  4. Step 4: Simplify right side
    4,673.57x = 17,949,734.51
  5. Step 5: Solve for x
    x = 17,949,734.51/4,673.57
  6. Step 6: Final answer
    x = 3,840.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.