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Finding the Fourth Proportional to 3,465.47, 4,786.34 and 2,525.47

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Solution

The fourth proportional to 3,465.47, 4,786.34 and 2,525.47 is: 3,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.47 : 4,786.34 = 2,525.47 : x
  2. Step 2: Convert to fraction form
    3,465.47/4,786.34 = 2,525.47/x
  3. Step 3: Cross multiply
    3,465.47x = 4,786.34 × 2,525.47
  4. Step 4: Simplify right side
    3,465.47x = 12,087,721.52
  5. Step 5: Solve for x
    x = 12,087,721.52/3,465.47
  6. Step 6: Final answer
    x = 3,488.05

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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.