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Finding the Fourth Proportional to 5,798.93, 8,002.52 and 3,146.34

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Solution

The fourth proportional to 5,798.93, 8,002.52 and 3,146.34 is: 4,341.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.93 : 8,002.52 = 3,146.34 : x
  2. Step 2: Convert to fraction form
    5,798.93/8,002.52 = 3,146.34/x
  3. Step 3: Cross multiply
    5,798.93x = 8,002.52 × 3,146.34
  4. Step 4: Simplify right side
    5,798.93x = 25,178,640.91
  5. Step 5: Solve for x
    x = 25,178,640.91/5,798.93
  6. Step 6: Final answer
    x = 4,341.94

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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.