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Finding the Fourth Proportional to 5,784.94, 7,983.26 and 3,132.35

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Solution

The fourth proportional to 5,784.94, 7,983.26 and 3,132.35 is: 4,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.94 : 7,983.26 = 3,132.35 : x
  2. Step 2: Convert to fraction form
    5,784.94/7,983.26 = 3,132.35/x
  3. Step 3: Cross multiply
    5,784.94x = 7,983.26 × 3,132.35
  4. Step 4: Simplify right side
    5,784.94x = 25,006,368.76
  5. Step 5: Solve for x
    x = 25,006,368.76/5,784.94
  6. Step 6: Final answer
    x = 4,322.67

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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.