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Finding the Fourth Proportional to 5,225.48, 7,838.02 and 1,329.99

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Solution

The fourth proportional to 5,225.48, 7,838.02 and 1,329.99 is: 1,994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.48 : 7,838.02 = 1,329.99 : x
  2. Step 2: Convert to fraction form
    5,225.48/7,838.02 = 1,329.99/x
  3. Step 3: Cross multiply
    5,225.48x = 7,838.02 × 1,329.99
  4. Step 4: Simplify right side
    5,225.48x = 10,424,484.89
  5. Step 5: Solve for x
    x = 10,424,484.89/5,225.48
  6. Step 6: Final answer
    x = 1,994.93

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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.