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Finding the Fourth Proportional to 3,500.45, 4,830.63 and 1,928.55

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Solution

The fourth proportional to 3,500.45, 4,830.63 and 1,928.55 is: 2,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.45 : 4,830.63 = 1,928.55 : x
  2. Step 2: Convert to fraction form
    3,500.45/4,830.63 = 1,928.55/x
  3. Step 3: Cross multiply
    3,500.45x = 4,830.63 × 1,928.55
  4. Step 4: Simplify right side
    3,500.45x = 9,316,111.49
  5. Step 5: Solve for x
    x = 9,316,111.49/3,500.45
  6. Step 6: Final answer
    x = 2,661.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.