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Finding the Fourth Proportional to 5,344.56, 7,378.02 and 3,577.32

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Solution

The fourth proportional to 5,344.56, 7,378.02 and 3,577.32 is: 4,938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.56 : 7,378.02 = 3,577.32 : x
  2. Step 2: Convert to fraction form
    5,344.56/7,378.02 = 3,577.32/x
  3. Step 3: Cross multiply
    5,344.56x = 7,378.02 × 3,577.32
  4. Step 4: Simplify right side
    5,344.56x = 26,393,538.51
  5. Step 5: Solve for x
    x = 26,393,538.51/5,344.56
  6. Step 6: Final answer
    x = 4,938.39

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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.