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Finding the Fourth Proportional to 5,394.66, 8,048.67 and 4,802.64

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Solution

The fourth proportional to 5,394.66, 8,048.67 and 4,802.64 is: 7,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394.66 : 8,048.67 = 4,802.64 : x
  2. Step 2: Convert to fraction form
    5,394.66/8,048.67 = 4,802.64/x
  3. Step 3: Cross multiply
    5,394.66x = 8,048.67 × 4,802.64
  4. Step 4: Simplify right side
    5,394.66x = 38,654,864.49
  5. Step 5: Solve for x
    x = 38,654,864.49/5,394.66
  6. Step 6: Final answer
    x = 7,165.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.