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Finding the Fourth Proportional to 5,075.23, 7,004 and 2,837.51

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Solution

The fourth proportional to 5,075.23, 7,004 and 2,837.51 is: 3,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.23 : 7,004 = 2,837.51 : x
  2. Step 2: Convert to fraction form
    5,075.23/7,004 = 2,837.51/x
  3. Step 3: Cross multiply
    5,075.23x = 7,004 × 2,837.51
  4. Step 4: Simplify right side
    5,075.23x = 19,873,920.04
  5. Step 5: Solve for x
    x = 19,873,920.04/5,075.23
  6. Step 6: Final answer
    x = 3,915.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.