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Finding the Fourth Proportional to 3,848.53, 5,773.10 and 1,075.22

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Solution

The fourth proportional to 3,848.53, 5,773.10 and 1,075.22 is: 1,612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.53 : 5,773.10 = 1,075.22 : x
  2. Step 2: Convert to fraction form
    3,848.53/5,773.10 = 1,075.22/x
  3. Step 3: Cross multiply
    3,848.53x = 5,773.10 × 1,075.22
  4. Step 4: Simplify right side
    3,848.53x = 6,207,352.58
  5. Step 5: Solve for x
    x = 6,207,352.58/3,848.53
  6. Step 6: Final answer
    x = 1,612.92

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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.