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Finding the Fourth Proportional to 4,895.96, 7,339.40 and 1,775.22

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Solution

The fourth proportional to 4,895.96, 7,339.40 and 1,775.22 is: 2,661.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.96 : 7,339.40 = 1,775.22 : x
  2. Step 2: Convert to fraction form
    4,895.96/7,339.40 = 1,775.22/x
  3. Step 3: Cross multiply
    4,895.96x = 7,339.40 × 1,775.22
  4. Step 4: Simplify right side
    4,895.96x = 13,029,019.93
  5. Step 5: Solve for x
    x = 13,029,019.93/4,895.96
  6. Step 6: Final answer
    x = 2,661.18

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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.