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Finding the Fourth Proportional to 3,564.32, 4,918.82 and 1,971.05

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Solution

The fourth proportional to 3,564.32, 4,918.82 and 1,971.05 is: 2,720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.32 : 4,918.82 = 1,971.05 : x
  2. Step 2: Convert to fraction form
    3,564.32/4,918.82 = 1,971.05/x
  3. Step 3: Cross multiply
    3,564.32x = 4,918.82 × 1,971.05
  4. Step 4: Simplify right side
    3,564.32x = 9,695,205.71
  5. Step 5: Solve for x
    x = 9,695,205.71/3,564.32
  6. Step 6: Final answer
    x = 2,720.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.