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Finding the Fourth Proportional to 4,295.40, 6,442.68 and 2,075.88

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Solution

The fourth proportional to 4,295.40, 6,442.68 and 2,075.88 is: 3,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.40 : 6,442.68 = 2,075.88 : x
  2. Step 2: Convert to fraction form
    4,295.40/6,442.68 = 2,075.88/x
  3. Step 3: Cross multiply
    4,295.40x = 6,442.68 × 2,075.88
  4. Step 4: Simplify right side
    4,295.40x = 13,374,230.56
  5. Step 5: Solve for x
    x = 13,374,230.56/4,295.40
  6. Step 6: Final answer
    x = 3,113.62

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