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Finding the Fourth Proportional to 7,075.88, 10,608.06 and 2,969

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Solution

The fourth proportional to 7,075.88, 10,608.06 and 2,969 is: 4,451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.88 : 10,608.06 = 2,969 : x
  2. Step 2: Convert to fraction form
    7,075.88/10,608.06 = 2,969/x
  3. Step 3: Cross multiply
    7,075.88x = 10,608.06 × 2,969
  4. Step 4: Simplify right side
    7,075.88x = 31,495,330.14
  5. Step 5: Solve for x
    x = 31,495,330.14/7,075.88
  6. Step 6: Final answer
    x = 4,451.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.