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Finding the Fourth Proportional to 5,659.40, 7,810.88 and 3,421.56

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Solution

The fourth proportional to 5,659.40, 7,810.88 and 3,421.56 is: 4,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.40 : 7,810.88 = 3,421.56 : x
  2. Step 2: Convert to fraction form
    5,659.40/7,810.88 = 3,421.56/x
  3. Step 3: Cross multiply
    5,659.40x = 7,810.88 × 3,421.56
  4. Step 4: Simplify right side
    5,659.40x = 26,725,394.57
  5. Step 5: Solve for x
    x = 26,725,394.57/5,659.40
  6. Step 6: Final answer
    x = 4,722.30

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