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Finding the Fourth Proportional to 3,646.68, 5,028.03 and 2,528.58

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Solution

The fourth proportional to 3,646.68, 5,028.03 and 2,528.58 is: 3,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.68 : 5,028.03 = 2,528.58 : x
  2. Step 2: Convert to fraction form
    3,646.68/5,028.03 = 2,528.58/x
  3. Step 3: Cross multiply
    3,646.68x = 5,028.03 × 2,528.58
  4. Step 4: Simplify right side
    3,646.68x = 12,713,776.10
  5. Step 5: Solve for x
    x = 12,713,776.10/3,646.68
  6. Step 6: Final answer
    x = 3,486.40

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Why These Related Problems?

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