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Finding the Fourth Proportional to 4,323.69, 6,484.46 and 1,402.83

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Solution

The fourth proportional to 4,323.69, 6,484.46 and 1,402.83 is: 2,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.69 : 6,484.46 = 1,402.83 : x
  2. Step 2: Convert to fraction form
    4,323.69/6,484.46 = 1,402.83/x
  3. Step 3: Cross multiply
    4,323.69x = 6,484.46 × 1,402.83
  4. Step 4: Simplify right side
    4,323.69x = 9,096,588.01
  5. Step 5: Solve for x
    x = 9,096,588.01/4,323.69
  6. Step 6: Final answer
    x = 2,103.89

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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.