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Finding the Fourth Proportional to 5,089.42, 7,637.37 and 5,047.75

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Solution

The fourth proportional to 5,089.42, 7,637.37 and 5,047.75 is: 7,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.42 : 7,637.37 = 5,047.75 : x
  2. Step 2: Convert to fraction form
    5,089.42/7,637.37 = 5,047.75/x
  3. Step 3: Cross multiply
    5,089.42x = 7,637.37 × 5,047.75
  4. Step 4: Simplify right side
    5,089.42x = 38,551,534.42
  5. Step 5: Solve for x
    x = 38,551,534.42/5,089.42
  6. Step 6: Final answer
    x = 7,574.84

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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.