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Finding the Fourth Proportional to 4,605.54, 6,903.38 and 1,828.36

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Solution

The fourth proportional to 4,605.54, 6,903.38 and 1,828.36 is: 2,740.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.54 : 6,903.38 = 1,828.36 : x
  2. Step 2: Convert to fraction form
    4,605.54/6,903.38 = 1,828.36/x
  3. Step 3: Cross multiply
    4,605.54x = 6,903.38 × 1,828.36
  4. Step 4: Simplify right side
    4,605.54x = 12,621,854.72
  5. Step 5: Solve for x
    x = 12,621,854.72/4,605.54
  6. Step 6: Final answer
    x = 2,740.58

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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.