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Finding the Fourth Proportional to 3,404.47, 4,697.93 and 2,285.23

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Solution

The fourth proportional to 3,404.47, 4,697.93 and 2,285.23 is: 3,153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.47 : 4,697.93 = 2,285.23 : x
  2. Step 2: Convert to fraction form
    3,404.47/4,697.93 = 2,285.23/x
  3. Step 3: Cross multiply
    3,404.47x = 4,697.93 × 2,285.23
  4. Step 4: Simplify right side
    3,404.47x = 10,735,828.71
  5. Step 5: Solve for x
    x = 10,735,828.71/3,404.47
  6. Step 6: Final answer
    x = 3,153.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.