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Finding the Fourth Proportional to 3,505.47, 5,258.09 and 1,424.86

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Solution

The fourth proportional to 3,505.47, 5,258.09 and 1,424.86 is: 2,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.47 : 5,258.09 = 1,424.86 : x
  2. Step 2: Convert to fraction form
    3,505.47/5,258.09 = 1,424.86/x
  3. Step 3: Cross multiply
    3,505.47x = 5,258.09 × 1,424.86
  4. Step 4: Simplify right side
    3,505.47x = 7,492,032.53
  5. Step 5: Solve for x
    x = 7,492,032.53/3,505.47
  6. Step 6: Final answer
    x = 2,137.24

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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.