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Finding the Fourth Proportional to 3,417.84, 4,716.63 and 1,845.94

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Solution

The fourth proportional to 3,417.84, 4,716.63 and 1,845.94 is: 2,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.84 : 4,716.63 = 1,845.94 : x
  2. Step 2: Convert to fraction form
    3,417.84/4,716.63 = 1,845.94/x
  3. Step 3: Cross multiply
    3,417.84x = 4,716.63 × 1,845.94
  4. Step 4: Simplify right side
    3,417.84x = 8,706,597.27
  5. Step 5: Solve for x
    x = 8,706,597.27/3,417.84
  6. Step 6: Final answer
    x = 2,547.39

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Why These Related Problems?

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