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Finding the Fourth Proportional to 3,256.51, 4,884.86 and 1,407.28

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Solution

The fourth proportional to 3,256.51, 4,884.86 and 1,407.28 is: 2,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.51 : 4,884.86 = 1,407.28 : x
  2. Step 2: Convert to fraction form
    3,256.51/4,884.86 = 1,407.28/x
  3. Step 3: Cross multiply
    3,256.51x = 4,884.86 × 1,407.28
  4. Step 4: Simplify right side
    3,256.51x = 6,874,365.78
  5. Step 5: Solve for x
    x = 6,874,365.78/3,256.51
  6. Step 6: Final answer
    x = 2,110.96

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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.