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Finding the Fourth Proportional to 5,407.13, 7,460.83 and 3,048.82

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Solution

The fourth proportional to 5,407.13, 7,460.83 and 3,048.82 is: 4,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.13 : 7,460.83 = 3,048.82 : x
  2. Step 2: Convert to fraction form
    5,407.13/7,460.83 = 3,048.82/x
  3. Step 3: Cross multiply
    5,407.13x = 7,460.83 × 3,048.82
  4. Step 4: Simplify right side
    5,407.13x = 22,746,727.72
  5. Step 5: Solve for x
    x = 22,746,727.72/5,407.13
  6. Step 6: Final answer
    x = 4,206.80

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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.