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Finding the Fourth Proportional to 3,898.55, 5,844.50 and 1,705.64

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Solution

The fourth proportional to 3,898.55, 5,844.50 and 1,705.64 is: 2,557.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.55 : 5,844.50 = 1,705.64 : x
  2. Step 2: Convert to fraction form
    3,898.55/5,844.50 = 1,705.64/x
  3. Step 3: Cross multiply
    3,898.55x = 5,844.50 × 1,705.64
  4. Step 4: Simplify right side
    3,898.55x = 9,968,588.02
  5. Step 5: Solve for x
    x = 9,968,588.02/3,898.55
  6. Step 6: Final answer
    x = 2,557.00

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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.