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Finding the Fourth Proportional to 3,566.48, 5,338.50 and 2,449.35

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Solution

The fourth proportional to 3,566.48, 5,338.50 and 2,449.35 is: 3,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.48 : 5,338.50 = 2,449.35 : x
  2. Step 2: Convert to fraction form
    3,566.48/5,338.50 = 2,449.35/x
  3. Step 3: Cross multiply
    3,566.48x = 5,338.50 × 2,449.35
  4. Step 4: Simplify right side
    3,566.48x = 13,075,854.98
  5. Step 5: Solve for x
    x = 13,075,854.98/3,566.48
  6. Step 6: Final answer
    x = 3,666.32

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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.