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Finding the Fourth Proportional to 5,840.42, 8,052.53 and 5,083.07

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Solution

The fourth proportional to 5,840.42, 8,052.53 and 5,083.07 is: 7,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.42 : 8,052.53 = 5,083.07 : x
  2. Step 2: Convert to fraction form
    5,840.42/8,052.53 = 5,083.07/x
  3. Step 3: Cross multiply
    5,840.42x = 8,052.53 × 5,083.07
  4. Step 4: Simplify right side
    5,840.42x = 40,931,507.99
  5. Step 5: Solve for x
    x = 40,931,507.99/5,840.42
  6. Step 6: Final answer
    x = 7,008.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.