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Finding the Fourth Proportional to 3,465.53, 4,781.53 and 2,206.07

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Solution

The fourth proportional to 3,465.53, 4,781.53 and 2,206.07 is: 3,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.53 : 4,781.53 = 2,206.07 : x
  2. Step 2: Convert to fraction form
    3,465.53/4,781.53 = 2,206.07/x
  3. Step 3: Cross multiply
    3,465.53x = 4,781.53 × 2,206.07
  4. Step 4: Simplify right side
    3,465.53x = 10,548,389.89
  5. Step 5: Solve for x
    x = 10,548,389.89/3,465.53
  6. Step 6: Final answer
    x = 3,043.80

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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.