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Finding the Fourth Proportional to 5,035.98, 6,946.52 and 3,461.34

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Solution

The fourth proportional to 5,035.98, 6,946.52 and 3,461.34 is: 4,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,035.98 : 6,946.52 = 3,461.34 : x
  2. Step 2: Convert to fraction form
    5,035.98/6,946.52 = 3,461.34/x
  3. Step 3: Cross multiply
    5,035.98x = 6,946.52 × 3,461.34
  4. Step 4: Simplify right side
    5,035.98x = 24,044,250.23
  5. Step 5: Solve for x
    x = 24,044,250.23/5,035.98
  6. Step 6: Final answer
    x = 4,774.49

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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.