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Finding the Fourth Proportional to 3,417.97, 4,716.80 and 1,846.07

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Solution

The fourth proportional to 3,417.97, 4,716.80 and 1,846.07 is: 2,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.97 : 4,716.80 = 1,846.07 : x
  2. Step 2: Convert to fraction form
    3,417.97/4,716.80 = 1,846.07/x
  3. Step 3: Cross multiply
    3,417.97x = 4,716.80 × 1,846.07
  4. Step 4: Simplify right side
    3,417.97x = 8,707,510.16
  5. Step 5: Solve for x
    x = 8,707,510.16/3,417.97
  6. Step 6: Final answer
    x = 2,547.57

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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.