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Finding the Fourth Proportional to 5,741.60, 7,907.10 and 4,938.80

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Solution

The fourth proportional to 5,741.60, 7,907.10 and 4,938.80 is: 6,801.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.60 : 7,907.10 = 4,938.80 : x
  2. Step 2: Convert to fraction form
    5,741.60/7,907.10 = 4,938.80/x
  3. Step 3: Cross multiply
    5,741.60x = 7,907.10 × 4,938.80
  4. Step 4: Simplify right side
    5,741.60x = 39,051,585.48
  5. Step 5: Solve for x
    x = 39,051,585.48/5,741.60
  6. Step 6: Final answer
    x = 6,801.52

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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.