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Finding the Fourth Proportional to 3,385.66, 5,076.60 and 1,045.00

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Solution

The fourth proportional to 3,385.66, 5,076.60 and 1,045.00 is: 1,566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.66 : 5,076.60 = 1,045.00 : x
  2. Step 2: Convert to fraction form
    3,385.66/5,076.60 = 1,045.00/x
  3. Step 3: Cross multiply
    3,385.66x = 5,076.60 × 1,045.00
  4. Step 4: Simplify right side
    3,385.66x = 5,305,052.37
  5. Step 5: Solve for x
    x = 5,305,052.37/3,385.66
  6. Step 6: Final answer
    x = 1,566.92

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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.