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Finding the Fourth Proportional to 5,784.57, 7,982.70 and 3,132

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Solution

The fourth proportional to 5,784.57, 7,982.70 and 3,132 is: 4,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.57 : 7,982.70 = 3,132 : x
  2. Step 2: Convert to fraction form
    5,784.57/7,982.70 = 3,132/x
  3. Step 3: Cross multiply
    5,784.57x = 7,982.70 × 3,132
  4. Step 4: Simplify right side
    5,784.57x = 25,001,816.40
  5. Step 5: Solve for x
    x = 25,001,816.40/5,784.57
  6. Step 6: Final answer
    x = 4,322.16

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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.