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Finding the Fourth Proportional to 5,660.47, 7,810.23 and 3,421.90

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Solution

The fourth proportional to 5,660.47, 7,810.23 and 3,421.90 is: 4,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.47 : 7,810.23 = 3,421.90 : x
  2. Step 2: Convert to fraction form
    5,660.47/7,810.23 = 3,421.90/x
  3. Step 3: Cross multiply
    5,660.47x = 7,810.23 × 3,421.90
  4. Step 4: Simplify right side
    5,660.47x = 26,725,826.04
  5. Step 5: Solve for x
    x = 26,725,826.04/5,660.47
  6. Step 6: Final answer
    x = 4,721.49

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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.