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Finding the Fourth Proportional to 3,646.19, 5,032.05 and 2,074.25

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Solution

The fourth proportional to 3,646.19, 5,032.05 and 2,074.25 is: 2,862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.19 : 5,032.05 = 2,074.25 : x
  2. Step 2: Convert to fraction form
    3,646.19/5,032.05 = 2,074.25/x
  3. Step 3: Cross multiply
    3,646.19x = 5,032.05 × 2,074.25
  4. Step 4: Simplify right side
    3,646.19x = 10,437,729.71
  5. Step 5: Solve for x
    x = 10,437,729.71/3,646.19
  6. Step 6: Final answer
    x = 2,862.64

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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.