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Finding the Fourth Proportional to 5,484.34, 8,225.43 and 1,588.78

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Solution

The fourth proportional to 5,484.34, 8,225.43 and 1,588.78 is: 2,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.34 : 8,225.43 = 1,588.78 : x
  2. Step 2: Convert to fraction form
    5,484.34/8,225.43 = 1,588.78/x
  3. Step 3: Cross multiply
    5,484.34x = 8,225.43 × 1,588.78
  4. Step 4: Simplify right side
    5,484.34x = 13,068,398.68
  5. Step 5: Solve for x
    x = 13,068,398.68/5,484.34
  6. Step 6: Final answer
    x = 2,382.86

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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.