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Finding the Fourth Proportional to 3,870.54, 5,802.23 and 1,404.76

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Solution

The fourth proportional to 3,870.54, 5,802.23 and 1,404.76 is: 2,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.54 : 5,802.23 = 1,404.76 : x
  2. Step 2: Convert to fraction form
    3,870.54/5,802.23 = 1,404.76/x
  3. Step 3: Cross multiply
    3,870.54x = 5,802.23 × 1,404.76
  4. Step 4: Simplify right side
    3,870.54x = 8,150,740.61
  5. Step 5: Solve for x
    x = 8,150,740.61/3,870.54
  6. Step 6: Final answer
    x = 2,105.84

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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.