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Finding the Fourth Proportional to 5,852.52, 8,782.02 and 2,389.50

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Solution

The fourth proportional to 5,852.52, 8,782.02 and 2,389.50 is: 3,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.52 : 8,782.02 = 2,389.50 : x
  2. Step 2: Convert to fraction form
    5,852.52/8,782.02 = 2,389.50/x
  3. Step 3: Cross multiply
    5,852.52x = 8,782.02 × 2,389.50
  4. Step 4: Simplify right side
    5,852.52x = 20,984,636.79
  5. Step 5: Solve for x
    x = 20,984,636.79/5,852.52
  6. Step 6: Final answer
    x = 3,585.57

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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.