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Finding the Fourth Proportional to 5,830.78, 8,046.65 and 3,178.36

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Solution

The fourth proportional to 5,830.78, 8,046.65 and 3,178.36 is: 4,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.78 : 8,046.65 = 3,178.36 : x
  2. Step 2: Convert to fraction form
    5,830.78/8,046.65 = 3,178.36/x
  3. Step 3: Cross multiply
    5,830.78x = 8,046.65 × 3,178.36
  4. Step 4: Simplify right side
    5,830.78x = 25,575,094.37
  5. Step 5: Solve for x
    x = 25,575,094.37/5,830.78
  6. Step 6: Final answer
    x = 4,386.22

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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.