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Finding the Fourth Proportional to 3,852.66, 5,776.58 and 1,770.00

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Solution

The fourth proportional to 3,852.66, 5,776.58 and 1,770.00 is: 2,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.66 : 5,776.58 = 1,770.00 : x
  2. Step 2: Convert to fraction form
    3,852.66/5,776.58 = 1,770.00/x
  3. Step 3: Cross multiply
    3,852.66x = 5,776.58 × 1,770.00
  4. Step 4: Simplify right side
    3,852.66x = 10,224,561.86
  5. Step 5: Solve for x
    x = 10,224,561.86/3,852.66
  6. Step 6: Final answer
    x = 2,653.89

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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.