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Finding the Fourth Proportional to 4,721.04, 7,083 and 3,407.76

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Solution

The fourth proportional to 4,721.04, 7,083 and 3,407.76 is: 5,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,721.04 : 7,083 = 3,407.76 : x
  2. Step 2: Convert to fraction form
    4,721.04/7,083 = 3,407.76/x
  3. Step 3: Cross multiply
    4,721.04x = 7,083 × 3,407.76
  4. Step 4: Simplify right side
    4,721.04x = 24,137,164.08
  5. Step 5: Solve for x
    x = 24,137,164.08/4,721.04
  6. Step 6: Final answer
    x = 5,112.68

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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.