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Finding the Fourth Proportional to 3,172.83, 4,760.37 and 1,417.67

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Solution

The fourth proportional to 3,172.83, 4,760.37 and 1,417.67 is: 2,127.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.83 : 4,760.37 = 1,417.67 : x
  2. Step 2: Convert to fraction form
    3,172.83/4,760.37 = 1,417.67/x
  3. Step 3: Cross multiply
    3,172.83x = 4,760.37 × 1,417.67
  4. Step 4: Simplify right side
    3,172.83x = 6,748,633.74
  5. Step 5: Solve for x
    x = 6,748,633.74/3,172.83
  6. Step 6: Final answer
    x = 2,127.01

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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.