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Finding the Fourth Proportional to 3,488.61, 4,814.24 and 1,895.22

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Solution

The fourth proportional to 3,488.61, 4,814.24 and 1,895.22 is: 2,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.61 : 4,814.24 = 1,895.22 : x
  2. Step 2: Convert to fraction form
    3,488.61/4,814.24 = 1,895.22/x
  3. Step 3: Cross multiply
    3,488.61x = 4,814.24 × 1,895.22
  4. Step 4: Simplify right side
    3,488.61x = 9,124,041.01
  5. Step 5: Solve for x
    x = 9,124,041.01/3,488.61
  6. Step 6: Final answer
    x = 2,615.38

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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.