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Finding the Fourth Proportional to 5,071.40, 7,607.10 and 4,466.60

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Solution

The fourth proportional to 5,071.40, 7,607.10 and 4,466.60 is: 6,699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.40 : 7,607.10 = 4,466.60 : x
  2. Step 2: Convert to fraction form
    5,071.40/7,607.10 = 4,466.60/x
  3. Step 3: Cross multiply
    5,071.40x = 7,607.10 × 4,466.60
  4. Step 4: Simplify right side
    5,071.40x = 33,977,872.86
  5. Step 5: Solve for x
    x = 33,977,872.86/5,071.40
  6. Step 6: Final answer
    x = 6,699.90

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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.