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Finding the Fourth Proportional to 5,585.34, 7,703.51 and 3,794.21

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Solution

The fourth proportional to 5,585.34, 7,703.51 and 3,794.21 is: 5,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.34 : 7,703.51 = 3,794.21 : x
  2. Step 2: Convert to fraction form
    5,585.34/7,703.51 = 3,794.21/x
  3. Step 3: Cross multiply
    5,585.34x = 7,703.51 × 3,794.21
  4. Step 4: Simplify right side
    5,585.34x = 29,228,677.19
  5. Step 5: Solve for x
    x = 29,228,677.19/5,585.34
  6. Step 6: Final answer
    x = 5,233.10

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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.