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Finding the Fourth Proportional to 3,420.58, 4,721.57 and 2,004.72

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Solution

The fourth proportional to 3,420.58, 4,721.57 and 2,004.72 is: 2,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.58 : 4,721.57 = 2,004.72 : x
  2. Step 2: Convert to fraction form
    3,420.58/4,721.57 = 2,004.72/x
  3. Step 3: Cross multiply
    3,420.58x = 4,721.57 × 2,004.72
  4. Step 4: Simplify right side
    3,420.58x = 9,465,430.82
  5. Step 5: Solve for x
    x = 9,465,430.82/3,420.58
  6. Step 6: Final answer
    x = 2,767.20

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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.