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Finding the Fourth Proportional to 5,898.16, 8,142.96 and 5,242.06

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Solution

The fourth proportional to 5,898.16, 8,142.96 and 5,242.06 is: 7,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.16 : 8,142.96 = 5,242.06 : x
  2. Step 2: Convert to fraction form
    5,898.16/8,142.96 = 5,242.06/x
  3. Step 3: Cross multiply
    5,898.16x = 8,142.96 × 5,242.06
  4. Step 4: Simplify right side
    5,898.16x = 42,685,884.90
  5. Step 5: Solve for x
    x = 42,685,884.90/5,898.16
  6. Step 6: Final answer
    x = 7,237.15

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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.