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Finding the Fourth Proportional to 3,506.01, 5,258.61 and 1,423.91

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Solution

The fourth proportional to 3,506.01, 5,258.61 and 1,423.91 is: 2,135.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.01 : 5,258.61 = 1,423.91 : x
  2. Step 2: Convert to fraction form
    3,506.01/5,258.61 = 1,423.91/x
  3. Step 3: Cross multiply
    3,506.01x = 5,258.61 × 1,423.91
  4. Step 4: Simplify right side
    3,506.01x = 7,487,761.07
  5. Step 5: Solve for x
    x = 7,487,761.07/3,506.01
  6. Step 6: Final answer
    x = 2,135.69

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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.