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Finding the Fourth Proportional to 3,075.56, 4,613.34 and 1,409.48

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Solution

The fourth proportional to 3,075.56, 4,613.34 and 1,409.48 is: 2,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.56 : 4,613.34 = 1,409.48 : x
  2. Step 2: Convert to fraction form
    3,075.56/4,613.34 = 1,409.48/x
  3. Step 3: Cross multiply
    3,075.56x = 4,613.34 × 1,409.48
  4. Step 4: Simplify right side
    3,075.56x = 6,502,410.46
  5. Step 5: Solve for x
    x = 6,502,410.46/3,075.56
  6. Step 6: Final answer
    x = 2,114.22

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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.