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Finding the Fourth Proportional to 5,191.42, 7,750.15 and 5,009.16

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Solution

The fourth proportional to 5,191.42, 7,750.15 and 5,009.16 is: 7,478.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.42 : 7,750.15 = 5,009.16 : x
  2. Step 2: Convert to fraction form
    5,191.42/7,750.15 = 5,009.16/x
  3. Step 3: Cross multiply
    5,191.42x = 7,750.15 × 5,009.16
  4. Step 4: Simplify right side
    5,191.42x = 38,821,741.37
  5. Step 5: Solve for x
    x = 38,821,741.37/5,191.42
  6. Step 6: Final answer
    x = 7,478.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.