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Finding the Fourth Proportional to 4,605.26, 6,903.02 and 1,828.07

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Solution

The fourth proportional to 4,605.26, 6,903.02 and 1,828.07 is: 2,740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.26 : 6,903.02 = 1,828.07 : x
  2. Step 2: Convert to fraction form
    4,605.26/6,903.02 = 1,828.07/x
  3. Step 3: Cross multiply
    4,605.26x = 6,903.02 × 1,828.07
  4. Step 4: Simplify right side
    4,605.26x = 12,619,199.71
  5. Step 5: Solve for x
    x = 12,619,199.71/4,605.26
  6. Step 6: Final answer
    x = 2,740.17

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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.