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Finding the Fourth Proportional to 5,798.47, 7,995.83 and 3,440.16

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Solution

The fourth proportional to 5,798.47, 7,995.83 and 3,440.16 is: 4,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.47 : 7,995.83 = 3,440.16 : x
  2. Step 2: Convert to fraction form
    5,798.47/7,995.83 = 3,440.16/x
  3. Step 3: Cross multiply
    5,798.47x = 7,995.83 × 3,440.16
  4. Step 4: Simplify right side
    5,798.47x = 27,506,934.53
  5. Step 5: Solve for x
    x = 27,506,934.53/5,798.47
  6. Step 6: Final answer
    x = 4,743.83

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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.