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Finding the Fourth Proportional to 5,837.40, 8,066.10 and 4,437.72

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Solution

The fourth proportional to 5,837.40, 8,066.10 and 4,437.72 is: 6,132.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.40 : 8,066.10 = 4,437.72 : x
  2. Step 2: Convert to fraction form
    5,837.40/8,066.10 = 4,437.72/x
  3. Step 3: Cross multiply
    5,837.40x = 8,066.10 × 4,437.72
  4. Step 4: Simplify right side
    5,837.40x = 35,795,093.29
  5. Step 5: Solve for x
    x = 35,795,093.29/5,837.40
  6. Step 6: Final answer
    x = 6,132.03

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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.