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Finding the Fourth Proportional to 5,099.01, 7,649.69 and 1,588.83

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Solution

The fourth proportional to 5,099.01, 7,649.69 and 1,588.83 is: 2,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.01 : 7,649.69 = 1,588.83 : x
  2. Step 2: Convert to fraction form
    5,099.01/7,649.69 = 1,588.83/x
  3. Step 3: Cross multiply
    5,099.01x = 7,649.69 × 1,588.83
  4. Step 4: Simplify right side
    5,099.01x = 12,154,018.71
  5. Step 5: Solve for x
    x = 12,154,018.71/5,099.01
  6. Step 6: Final answer
    x = 2,383.61

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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.