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Finding the Fourth Proportional to 3,357.96, 5,036.46 and 893.00

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Solution

The fourth proportional to 3,357.96, 5,036.46 and 893.00 is: 1,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.96 : 5,036.46 = 893.00 : x
  2. Step 2: Convert to fraction form
    3,357.96/5,036.46 = 893.00/x
  3. Step 3: Cross multiply
    3,357.96x = 5,036.46 × 893.00
  4. Step 4: Simplify right side
    3,357.96x = 4,497,533.60
  5. Step 5: Solve for x
    x = 4,497,533.60/3,357.96
  6. Step 6: Final answer
    x = 1,339.36

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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.