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Finding the Fourth Proportional to 3,005.78, 4,146.84 and 3,001.14

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Solution

The fourth proportional to 3,005.78, 4,146.84 and 3,001.14 is: 4,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.78 : 4,146.84 = 3,001.14 : x
  2. Step 2: Convert to fraction form
    3,005.78/4,146.84 = 3,001.14/x
  3. Step 3: Cross multiply
    3,005.78x = 4,146.84 × 3,001.14
  4. Step 4: Simplify right side
    3,005.78x = 12,445,247.40
  5. Step 5: Solve for x
    x = 12,445,247.40/3,005.78
  6. Step 6: Final answer
    x = 4,140.45

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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.