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Finding the Fourth Proportional to 5,454.24, 7,525.08 and 3,465.72

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Solution

The fourth proportional to 5,454.24, 7,525.08 and 3,465.72 is: 4,781.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.24 : 7,525.08 = 3,465.72 : x
  2. Step 2: Convert to fraction form
    5,454.24/7,525.08 = 3,465.72/x
  3. Step 3: Cross multiply
    5,454.24x = 7,525.08 × 3,465.72
  4. Step 4: Simplify right side
    5,454.24x = 26,079,820.26
  5. Step 5: Solve for x
    x = 26,079,820.26/5,454.24
  6. Step 6: Final answer
    x = 4,781.57

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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.