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Finding the Fourth Proportional to 4,683.52, 7,025.28 and 1,220.50

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Solution

The fourth proportional to 4,683.52, 7,025.28 and 1,220.50 is: 1,830.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.52 : 7,025.28 = 1,220.50 : x
  2. Step 2: Convert to fraction form
    4,683.52/7,025.28 = 1,220.50/x
  3. Step 3: Cross multiply
    4,683.52x = 7,025.28 × 1,220.50
  4. Step 4: Simplify right side
    4,683.52x = 8,574,354.24
  5. Step 5: Solve for x
    x = 8,574,354.24/4,683.52
  6. Step 6: Final answer
    x = 1,830.75

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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.