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Finding the Fourth Proportional to 3,537.76, 5,302.58 and 1,686.24

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Solution

The fourth proportional to 3,537.76, 5,302.58 and 1,686.24 is: 2,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.76 : 5,302.58 = 1,686.24 : x
  2. Step 2: Convert to fraction form
    3,537.76/5,302.58 = 1,686.24/x
  3. Step 3: Cross multiply
    3,537.76x = 5,302.58 × 1,686.24
  4. Step 4: Simplify right side
    3,537.76x = 8,941,422.50
  5. Step 5: Solve for x
    x = 8,941,422.50/3,537.76
  6. Step 6: Final answer
    x = 2,527.42

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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.