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Finding the Fourth Proportional to 5,641.61, 8,466.05 and 2,357.06

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Solution

The fourth proportional to 5,641.61, 8,466.05 and 2,357.06 is: 3,537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.61 : 8,466.05 = 2,357.06 : x
  2. Step 2: Convert to fraction form
    5,641.61/8,466.05 = 2,357.06/x
  3. Step 3: Cross multiply
    5,641.61x = 8,466.05 × 2,357.06
  4. Step 4: Simplify right side
    5,641.61x = 19,954,951.38
  5. Step 5: Solve for x
    x = 19,954,951.38/5,641.61
  6. Step 6: Final answer
    x = 3,537.11

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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.