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Finding the Fourth Proportional to 3,646.68, 5,032.84 and 2,075.02

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Solution

The fourth proportional to 3,646.68, 5,032.84 and 2,075.02 is: 2,863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.68 : 5,032.84 = 2,075.02 : x
  2. Step 2: Convert to fraction form
    3,646.68/5,032.84 = 2,075.02/x
  3. Step 3: Cross multiply
    3,646.68x = 5,032.84 × 2,075.02
  4. Step 4: Simplify right side
    3,646.68x = 10,443,243.66
  5. Step 5: Solve for x
    x = 10,443,243.66/3,646.68
  6. Step 6: Final answer
    x = 2,863.77

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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.