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Finding the Fourth Proportional to 5,674.20, 7,823.35 and 3,654.19

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Solution

The fourth proportional to 5,674.20, 7,823.35 and 3,654.19 is: 5,038.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.20 : 7,823.35 = 3,654.19 : x
  2. Step 2: Convert to fraction form
    5,674.20/7,823.35 = 3,654.19/x
  3. Step 3: Cross multiply
    5,674.20x = 7,823.35 × 3,654.19
  4. Step 4: Simplify right side
    5,674.20x = 28,588,007.34
  5. Step 5: Solve for x
    x = 28,588,007.34/5,674.20
  6. Step 6: Final answer
    x = 5,038.24

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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.