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Finding the Fourth Proportional to 3,675.84, 5,513.80 and 1,043.32

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Solution

The fourth proportional to 3,675.84, 5,513.80 and 1,043.32 is: 1,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.84 : 5,513.80 = 1,043.32 : x
  2. Step 2: Convert to fraction form
    3,675.84/5,513.80 = 1,043.32/x
  3. Step 3: Cross multiply
    3,675.84x = 5,513.80 × 1,043.32
  4. Step 4: Simplify right side
    3,675.84x = 5,752,657.82
  5. Step 5: Solve for x
    x = 5,752,657.82/3,675.84
  6. Step 6: Final answer
    x = 1,564.99

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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.