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Finding the Fourth Proportional to 2,572.12, 3,859.08 and 1,477.40

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Solution

The fourth proportional to 2,572.12, 3,859.08 and 1,477.40 is: 2,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.12 : 3,859.08 = 1,477.40 : x
  2. Step 2: Convert to fraction form
    2,572.12/3,859.08 = 1,477.40/x
  3. Step 3: Cross multiply
    2,572.12x = 3,859.08 × 1,477.40
  4. Step 4: Simplify right side
    2,572.12x = 5,701,404.79
  5. Step 5: Solve for x
    x = 5,701,404.79/2,572.12
  6. Step 6: Final answer
    x = 2,216.62

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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.