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Finding the Fourth Proportional to 3,646.62, 5,032.53 and 2,075.22

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Solution

The fourth proportional to 3,646.62, 5,032.53 and 2,075.22 is: 2,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.62 : 5,032.53 = 2,075.22 : x
  2. Step 2: Convert to fraction form
    3,646.62/5,032.53 = 2,075.22/x
  3. Step 3: Cross multiply
    3,646.62x = 5,032.53 × 2,075.22
  4. Step 4: Simplify right side
    3,646.62x = 10,443,606.91
  5. Step 5: Solve for x
    x = 10,443,606.91/3,646.62
  6. Step 6: Final answer
    x = 2,863.91

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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.