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Finding the Fourth Proportional to 5,948.40, 8,914.05 and 3,345.84

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Solution

The fourth proportional to 5,948.40, 8,914.05 and 3,345.84 is: 5,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.40 : 8,914.05 = 3,345.84 : x
  2. Step 2: Convert to fraction form
    5,948.40/8,914.05 = 3,345.84/x
  3. Step 3: Cross multiply
    5,948.40x = 8,914.05 × 3,345.84
  4. Step 4: Simplify right side
    5,948.40x = 29,824,985.05
  5. Step 5: Solve for x
    x = 29,824,985.05/5,948.40
  6. Step 6: Final answer
    x = 5,013.95

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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.