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Finding the Fourth Proportional to 3,466.10, 5,200.05 and 1,001.12

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Solution

The fourth proportional to 3,466.10, 5,200.05 and 1,001.12 is: 1,501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.10 : 5,200.05 = 1,001.12 : x
  2. Step 2: Convert to fraction form
    3,466.10/5,200.05 = 1,001.12/x
  3. Step 3: Cross multiply
    3,466.10x = 5,200.05 × 1,001.12
  4. Step 4: Simplify right side
    3,466.10x = 5,205,848.06
  5. Step 5: Solve for x
    x = 5,205,848.06/3,466.10
  6. Step 6: Final answer
    x = 1,501.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.