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Finding the Fourth Proportional to 5,885.33, 8,123.29 and 3,645.93

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Solution

The fourth proportional to 5,885.33, 8,123.29 and 3,645.93 is: 5,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.33 : 8,123.29 = 3,645.93 : x
  2. Step 2: Convert to fraction form
    5,885.33/8,123.29 = 3,645.93/x
  3. Step 3: Cross multiply
    5,885.33x = 8,123.29 × 3,645.93
  4. Step 4: Simplify right side
    5,885.33x = 29,616,946.71
  5. Step 5: Solve for x
    x = 29,616,946.71/5,885.33
  6. Step 6: Final answer
    x = 5,032.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.