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Finding the Fourth Proportional to 5,335.34, 7,362.94 and 2,977.64

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Solution

The fourth proportional to 5,335.34, 7,362.94 and 2,977.64 is: 4,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.34 : 7,362.94 = 2,977.64 : x
  2. Step 2: Convert to fraction form
    5,335.34/7,362.94 = 2,977.64/x
  3. Step 3: Cross multiply
    5,335.34x = 7,362.94 × 2,977.64
  4. Step 4: Simplify right side
    5,335.34x = 21,924,184.66
  5. Step 5: Solve for x
    x = 21,924,184.66/5,335.34
  6. Step 6: Final answer
    x = 4,109.24

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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.