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Finding the Fourth Proportional to 5,416.93, 7,475.80 and 4,307.03

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Solution

The fourth proportional to 5,416.93, 7,475.80 and 4,307.03 is: 5,944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.93 : 7,475.80 = 4,307.03 : x
  2. Step 2: Convert to fraction form
    5,416.93/7,475.80 = 4,307.03/x
  3. Step 3: Cross multiply
    5,416.93x = 7,475.80 × 4,307.03
  4. Step 4: Simplify right side
    5,416.93x = 32,198,494.87
  5. Step 5: Solve for x
    x = 32,198,494.87/5,416.93
  6. Step 6: Final answer
    x = 5,944.05

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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.