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Finding the Fourth Proportional to 3,465.54, 4,782.51 and 2,069.10

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Solution

The fourth proportional to 3,465.54, 4,782.51 and 2,069.10 is: 2,855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.54 : 4,782.51 = 2,069.10 : x
  2. Step 2: Convert to fraction form
    3,465.54/4,782.51 = 2,069.10/x
  3. Step 3: Cross multiply
    3,465.54x = 4,782.51 × 2,069.10
  4. Step 4: Simplify right side
    3,465.54x = 9,895,491.44
  5. Step 5: Solve for x
    x = 9,895,491.44/3,465.54
  6. Step 6: Final answer
    x = 2,855.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.