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Finding the Fourth Proportional to 4,362.56, 6,543.72 and 1,075.64

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Solution

The fourth proportional to 4,362.56, 6,543.72 and 1,075.64 is: 1,613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.56 : 6,543.72 = 1,075.64 : x
  2. Step 2: Convert to fraction form
    4,362.56/6,543.72 = 1,075.64/x
  3. Step 3: Cross multiply
    4,362.56x = 6,543.72 × 1,075.64
  4. Step 4: Simplify right side
    4,362.56x = 7,038,686.98
  5. Step 5: Solve for x
    x = 7,038,686.98/4,362.56
  6. Step 6: Final answer
    x = 1,613.43

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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.