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Finding the Fourth Proportional to 4,854.74, 7,266.44 and 2,511.51

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Solution

The fourth proportional to 4,854.74, 7,266.44 and 2,511.51 is: 3,759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.74 : 7,266.44 = 2,511.51 : x
  2. Step 2: Convert to fraction form
    4,854.74/7,266.44 = 2,511.51/x
  3. Step 3: Cross multiply
    4,854.74x = 7,266.44 × 2,511.51
  4. Step 4: Simplify right side
    4,854.74x = 18,249,742.50
  5. Step 5: Solve for x
    x = 18,249,742.50/4,854.74
  6. Step 6: Final answer
    x = 3,759.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.