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Finding the Fourth Proportional to 4,570.67, 6,301.72 and 3,075.41

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Solution

The fourth proportional to 4,570.67, 6,301.72 and 3,075.41 is: 4,240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.67 : 6,301.72 = 3,075.41 : x
  2. Step 2: Convert to fraction form
    4,570.67/6,301.72 = 3,075.41/x
  3. Step 3: Cross multiply
    4,570.67x = 6,301.72 × 3,075.41
  4. Step 4: Simplify right side
    4,570.67x = 19,380,372.71
  5. Step 5: Solve for x
    x = 19,380,372.71/4,570.67
  6. Step 6: Final answer
    x = 4,240.16

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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.