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Finding the Fourth Proportional to 5,828.09, 8,700.58 and 5,623.06

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Solution

The fourth proportional to 5,828.09, 8,700.58 and 5,623.06 is: 8,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.09 : 8,700.58 = 5,623.06 : x
  2. Step 2: Convert to fraction form
    5,828.09/8,700.58 = 5,623.06/x
  3. Step 3: Cross multiply
    5,828.09x = 8,700.58 × 5,623.06
  4. Step 4: Simplify right side
    5,828.09x = 48,923,839.87
  5. Step 5: Solve for x
    x = 48,923,839.87/5,828.09
  6. Step 6: Final answer
    x = 8,394.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.