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Finding the Fourth Proportional to 5,454.57, 7,525.94 and 3,464.40

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Solution

The fourth proportional to 5,454.57, 7,525.94 and 3,464.40 is: 4,780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.57 : 7,525.94 = 3,464.40 : x
  2. Step 2: Convert to fraction form
    5,454.57/7,525.94 = 3,464.40/x
  3. Step 3: Cross multiply
    5,454.57x = 7,525.94 × 3,464.40
  4. Step 4: Simplify right side
    5,454.57x = 26,072,849.21
  5. Step 5: Solve for x
    x = 26,072,849.21/5,454.57
  6. Step 6: Final answer
    x = 4,780.00

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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.