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Finding the Fourth Proportional to 5,434.92, 7,503.30 and 3,577.32

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Solution

The fourth proportional to 5,434.92, 7,503.30 and 3,577.32 is: 4,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.92 : 7,503.30 = 3,577.32 : x
  2. Step 2: Convert to fraction form
    5,434.92/7,503.30 = 3,577.32/x
  3. Step 3: Cross multiply
    5,434.92x = 7,503.30 × 3,577.32
  4. Step 4: Simplify right side
    5,434.92x = 26,841,705.16
  5. Step 5: Solve for x
    x = 26,841,705.16/5,434.92
  6. Step 6: Final answer
    x = 4,938.75

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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.