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Finding the Fourth Proportional to 4,602.93, 6,336.48 and 4,159.44

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Solution

The fourth proportional to 4,602.93, 6,336.48 and 4,159.44 is: 5,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.93 : 6,336.48 = 4,159.44 : x
  2. Step 2: Convert to fraction form
    4,602.93/6,336.48 = 4,159.44/x
  3. Step 3: Cross multiply
    4,602.93x = 6,336.48 × 4,159.44
  4. Step 4: Simplify right side
    4,602.93x = 26,356,208.37
  5. Step 5: Solve for x
    x = 26,356,208.37/4,602.93
  6. Step 6: Final answer
    x = 5,725.96

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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.