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Finding the Fourth Proportional to 7,057.60, 9,741.64 and 4,075.38

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Solution

The fourth proportional to 7,057.60, 9,741.64 and 4,075.38 is: 5,625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.60 : 9,741.64 = 4,075.38 : x
  2. Step 2: Convert to fraction form
    7,057.60/9,741.64 = 4,075.38/x
  3. Step 3: Cross multiply
    7,057.60x = 9,741.64 × 4,075.38
  4. Step 4: Simplify right side
    7,057.60x = 39,700,884.82
  5. Step 5: Solve for x
    x = 39,700,884.82/7,057.60
  6. Step 6: Final answer
    x = 5,625.27

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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.