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Finding the Fourth Proportional to 3,538.66, 5,308.77 and 1,347.40

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Solution

The fourth proportional to 3,538.66, 5,308.77 and 1,347.40 is: 2,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.66 : 5,308.77 = 1,347.40 : x
  2. Step 2: Convert to fraction form
    3,538.66/5,308.77 = 1,347.40/x
  3. Step 3: Cross multiply
    3,538.66x = 5,308.77 × 1,347.40
  4. Step 4: Simplify right side
    3,538.66x = 7,153,036.70
  5. Step 5: Solve for x
    x = 7,153,036.70/3,538.66
  6. Step 6: Final answer
    x = 2,021.40

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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.