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Finding the Fourth Proportional to 5,582.25, 8,373.26 and 4,710.33

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Solution

The fourth proportional to 5,582.25, 8,373.26 and 4,710.33 is: 7,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.25 : 8,373.26 = 4,710.33 : x
  2. Step 2: Convert to fraction form
    5,582.25/8,373.26 = 4,710.33/x
  3. Step 3: Cross multiply
    5,582.25x = 8,373.26 × 4,710.33
  4. Step 4: Simplify right side
    5,582.25x = 39,440,794.22
  5. Step 5: Solve for x
    x = 39,440,794.22/5,582.25
  6. Step 6: Final answer
    x = 7,065.39

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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.