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Finding the Fourth Proportional to 5,698, 8,551.05 and 2,235.25

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Solution

The fourth proportional to 5,698, 8,551.05 and 2,235.25 is: 3,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698 : 8,551.05 = 2,235.25 : x
  2. Step 2: Convert to fraction form
    5,698/8,551.05 = 2,235.25/x
  3. Step 3: Cross multiply
    5,698x = 8,551.05 × 2,235.25
  4. Step 4: Simplify right side
    5,698x = 19,113,734.51
  5. Step 5: Solve for x
    x = 19,113,734.51/5,698
  6. Step 6: Final answer
    x = 3,354.46

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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.