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Finding the Fourth Proportional to 5,623.32, 8,434.02 and 2,064.66

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Solution

The fourth proportional to 5,623.32, 8,434.02 and 2,064.66 is: 3,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.32 : 8,434.02 = 2,064.66 : x
  2. Step 2: Convert to fraction form
    5,623.32/8,434.02 = 2,064.66/x
  3. Step 3: Cross multiply
    5,623.32x = 8,434.02 × 2,064.66
  4. Step 4: Simplify right side
    5,623.32x = 17,413,417.94
  5. Step 5: Solve for x
    x = 17,413,417.94/5,623.32
  6. Step 6: Final answer
    x = 3,096.64

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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.