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Finding the Fourth Proportional to 5,925.53, 8,171.10 and 5,089.01

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Solution

The fourth proportional to 5,925.53, 8,171.10 and 5,089.01 is: 7,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,925.53 : 8,171.10 = 5,089.01 : x
  2. Step 2: Convert to fraction form
    5,925.53/8,171.10 = 5,089.01/x
  3. Step 3: Cross multiply
    5,925.53x = 8,171.10 × 5,089.01
  4. Step 4: Simplify right side
    5,925.53x = 41,582,768.76
  5. Step 5: Solve for x
    x = 41,582,768.76/5,925.53
  6. Step 6: Final answer
    x = 7,017.56

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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.