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Finding the Fourth Proportional to 3,973.86, 5,483.75 and 2,205.45

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Solution

The fourth proportional to 3,973.86, 5,483.75 and 2,205.45 is: 3,043.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.86 : 5,483.75 = 2,205.45 : x
  2. Step 2: Convert to fraction form
    3,973.86/5,483.75 = 2,205.45/x
  3. Step 3: Cross multiply
    3,973.86x = 5,483.75 × 2,205.45
  4. Step 4: Simplify right side
    3,973.86x = 12,094,125.41
  5. Step 5: Solve for x
    x = 12,094,125.41/3,973.86
  6. Step 6: Final answer
    x = 3,043.42

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1.5x scale

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.