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Finding the Fourth Proportional to 3,417.09, 4,713.90 and 2,140.74

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Solution

The fourth proportional to 3,417.09, 4,713.90 and 2,140.74 is: 2,953.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.09 : 4,713.90 = 2,140.74 : x
  2. Step 2: Convert to fraction form
    3,417.09/4,713.90 = 2,140.74/x
  3. Step 3: Cross multiply
    3,417.09x = 4,713.90 × 2,140.74
  4. Step 4: Simplify right side
    3,417.09x = 10,091,234.29
  5. Step 5: Solve for x
    x = 10,091,234.29/3,417.09
  6. Step 6: Final answer
    x = 2,953.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.