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Finding the Fourth Proportional to 6,088.64, 9,129.51 and 1,927.87

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Solution

The fourth proportional to 6,088.64, 9,129.51 and 1,927.87 is: 2,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,088.64 : 9,129.51 = 1,927.87 : x
  2. Step 2: Convert to fraction form
    6,088.64/9,129.51 = 1,927.87/x
  3. Step 3: Cross multiply
    6,088.64x = 9,129.51 × 1,927.87
  4. Step 4: Simplify right side
    6,088.64x = 17,600,485.62
  5. Step 5: Solve for x
    x = 17,600,485.62/6,088.64
  6. Step 6: Final answer
    x = 2,890.71

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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.