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Finding the Fourth Proportional to 5,664.17, 8,495.60 and 1,504.51

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Solution

The fourth proportional to 5,664.17, 8,495.60 and 1,504.51 is: 2,256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.17 : 8,495.60 = 1,504.51 : x
  2. Step 2: Convert to fraction form
    5,664.17/8,495.60 = 1,504.51/x
  3. Step 3: Cross multiply
    5,664.17x = 8,495.60 × 1,504.51
  4. Step 4: Simplify right side
    5,664.17x = 12,781,672.68
  5. Step 5: Solve for x
    x = 12,781,672.68/5,664.17
  6. Step 6: Final answer
    x = 2,256.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.