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Finding the Fourth Proportional to 3,566.90, 5,352.65 and 1,924.59

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Solution

The fourth proportional to 3,566.90, 5,352.65 and 1,924.59 is: 2,888.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.90 : 5,352.65 = 1,924.59 : x
  2. Step 2: Convert to fraction form
    3,566.90/5,352.65 = 1,924.59/x
  3. Step 3: Cross multiply
    3,566.90x = 5,352.65 × 1,924.59
  4. Step 4: Simplify right side
    3,566.90x = 10,301,647.04
  5. Step 5: Solve for x
    x = 10,301,647.04/3,566.90
  6. Step 6: Final answer
    x = 2,888.13

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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.