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Finding the Fourth Proportional to 4,607.33, 6,909.91 and 3,146.09

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Solution

The fourth proportional to 4,607.33, 6,909.91 and 3,146.09 is: 4,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.33 : 6,909.91 = 3,146.09 : x
  2. Step 2: Convert to fraction form
    4,607.33/6,909.91 = 3,146.09/x
  3. Step 3: Cross multiply
    4,607.33x = 6,909.91 × 3,146.09
  4. Step 4: Simplify right side
    4,607.33x = 21,739,156.34
  5. Step 5: Solve for x
    x = 21,739,156.34/4,607.33
  6. Step 6: Final answer
    x = 4,718.39

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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.