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Finding the Fourth Proportional to 4,256.70, 5,862.15 and 3,075.90

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Solution

The fourth proportional to 4,256.70, 5,862.15 and 3,075.90 is: 4,236.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.70 : 5,862.15 = 3,075.90 : x
  2. Step 2: Convert to fraction form
    4,256.70/5,862.15 = 3,075.90/x
  3. Step 3: Cross multiply
    4,256.70x = 5,862.15 × 3,075.90
  4. Step 4: Simplify right side
    4,256.70x = 18,031,387.19
  5. Step 5: Solve for x
    x = 18,031,387.19/4,256.70
  6. Step 6: Final answer
    x = 4,236.00

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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.