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Finding the Fourth Proportional to 4,406.87, 6,610.21 and 1,075.13

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Solution

The fourth proportional to 4,406.87, 6,610.21 and 1,075.13 is: 1,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.87 : 6,610.21 = 1,075.13 : x
  2. Step 2: Convert to fraction form
    4,406.87/6,610.21 = 1,075.13/x
  3. Step 3: Cross multiply
    4,406.87x = 6,610.21 × 1,075.13
  4. Step 4: Simplify right side
    4,406.87x = 7,106,829.70
  5. Step 5: Solve for x
    x = 7,106,829.70/4,406.87
  6. Step 6: Final answer
    x = 1,612.67

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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.