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Finding the Fourth Proportional to 5,358.94, 8,028.68 and 5,242.30

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Solution

The fourth proportional to 5,358.94, 8,028.68 and 5,242.30 is: 7,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.94 : 8,028.68 = 5,242.30 : x
  2. Step 2: Convert to fraction form
    5,358.94/8,028.68 = 5,242.30/x
  3. Step 3: Cross multiply
    5,358.94x = 8,028.68 × 5,242.30
  4. Step 4: Simplify right side
    5,358.94x = 42,088,749.16
  5. Step 5: Solve for x
    x = 42,088,749.16/5,358.94
  6. Step 6: Final answer
    x = 7,853.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.