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Finding the Fourth Proportional to 5,902.62, 8,842.41 and 4,597.98

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Solution

The fourth proportional to 5,902.62, 8,842.41 and 4,597.98 is: 6,888.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.62 : 8,842.41 = 4,597.98 : x
  2. Step 2: Convert to fraction form
    5,902.62/8,842.41 = 4,597.98/x
  3. Step 3: Cross multiply
    5,902.62x = 8,842.41 × 4,597.98
  4. Step 4: Simplify right side
    5,902.62x = 40,657,224.33
  5. Step 5: Solve for x
    x = 40,657,224.33/5,902.62
  6. Step 6: Final answer
    x = 6,888.00

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1.5x scale

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.