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Finding the Fourth Proportional to 5,971.41, 8,957.66 and 1,588.91

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Solution

The fourth proportional to 5,971.41, 8,957.66 and 1,588.91 is: 2,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.41 : 8,957.66 = 1,588.91 : x
  2. Step 2: Convert to fraction form
    5,971.41/8,957.66 = 1,588.91/x
  3. Step 3: Cross multiply
    5,971.41x = 8,957.66 × 1,588.91
  4. Step 4: Simplify right side
    5,971.41x = 14,232,862.82
  5. Step 5: Solve for x
    x = 14,232,862.82/5,971.41
  6. Step 6: Final answer
    x = 2,383.50

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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.