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Finding the Fourth Proportional to 4,636.93, 6,407.06 and 3,650.05

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Solution

The fourth proportional to 4,636.93, 6,407.06 and 3,650.05 is: 5,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.93 : 6,407.06 = 3,650.05 : x
  2. Step 2: Convert to fraction form
    4,636.93/6,407.06 = 3,650.05/x
  3. Step 3: Cross multiply
    4,636.93x = 6,407.06 × 3,650.05
  4. Step 4: Simplify right side
    4,636.93x = 23,386,089.35
  5. Step 5: Solve for x
    x = 23,386,089.35/4,636.93
  6. Step 6: Final answer
    x = 5,043.44

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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.