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Finding the Fourth Proportional to 5,153.68, 7,730.99 and 1,405.51

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Solution

The fourth proportional to 5,153.68, 7,730.99 and 1,405.51 is: 2,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.68 : 7,730.99 = 1,405.51 : x
  2. Step 2: Convert to fraction form
    5,153.68/7,730.99 = 1,405.51/x
  3. Step 3: Cross multiply
    5,153.68x = 7,730.99 × 1,405.51
  4. Step 4: Simplify right side
    5,153.68x = 10,865,983.75
  5. Step 5: Solve for x
    x = 10,865,983.75/5,153.68
  6. Step 6: Final answer
    x = 2,108.39

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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.