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Finding the Fourth Proportional to 3,686.74, 5,530.52 and 1,347.46

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Solution

The fourth proportional to 3,686.74, 5,530.52 and 1,347.46 is: 2,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.74 : 5,530.52 = 1,347.46 : x
  2. Step 2: Convert to fraction form
    3,686.74/5,530.52 = 1,347.46/x
  3. Step 3: Cross multiply
    3,686.74x = 5,530.52 × 1,347.46
  4. Step 4: Simplify right side
    3,686.74x = 7,452,154.48
  5. Step 5: Solve for x
    x = 7,452,154.48/3,686.74
  6. Step 6: Final answer
    x = 2,021.34

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