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Finding the Fourth Proportional to 3,659.16, 5,497.68 and 3,528

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Solution

The fourth proportional to 3,659.16, 5,497.68 and 3,528 is: 5,300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.16 : 5,497.68 = 3,528 : x
  2. Step 2: Convert to fraction form
    3,659.16/5,497.68 = 3,528/x
  3. Step 3: Cross multiply
    3,659.16x = 5,497.68 × 3,528
  4. Step 4: Simplify right side
    3,659.16x = 19,395,815.04
  5. Step 5: Solve for x
    x = 19,395,815.04/3,659.16
  6. Step 6: Final answer
    x = 5,300.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.