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Finding the Fourth Proportional to 3,855.46, 5,783.91 and 1,547.14

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Solution

The fourth proportional to 3,855.46, 5,783.91 and 1,547.14 is: 2,321.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.46 : 5,783.91 = 1,547.14 : x
  2. Step 2: Convert to fraction form
    3,855.46/5,783.91 = 1,547.14/x
  3. Step 3: Cross multiply
    3,855.46x = 5,783.91 × 1,547.14
  4. Step 4: Simplify right side
    3,855.46x = 8,948,518.52
  5. Step 5: Solve for x
    x = 8,948,518.52/3,855.46
  6. Step 6: Final answer
    x = 2,321.00

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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.