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Finding the Fourth Proportional to 5,474.64, 7,555.10 and 3,117

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Solution

The fourth proportional to 5,474.64, 7,555.10 and 3,117 is: 4,301.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.64 : 7,555.10 = 3,117 : x
  2. Step 2: Convert to fraction form
    5,474.64/7,555.10 = 3,117/x
  3. Step 3: Cross multiply
    5,474.64x = 7,555.10 × 3,117
  4. Step 4: Simplify right side
    5,474.64x = 23,549,231.12
  5. Step 5: Solve for x
    x = 23,549,231.12/5,474.64
  6. Step 6: Final answer
    x = 4,301.51

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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.