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Finding the Fourth Proportional to 3,547.77, 4,895.72 and 1,954.11

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Solution

The fourth proportional to 3,547.77, 4,895.72 and 1,954.11 is: 2,696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.77 : 4,895.72 = 1,954.11 : x
  2. Step 2: Convert to fraction form
    3,547.77/4,895.72 = 1,954.11/x
  3. Step 3: Cross multiply
    3,547.77x = 4,895.72 × 1,954.11
  4. Step 4: Simplify right side
    3,547.77x = 9,566,775.41
  5. Step 5: Solve for x
    x = 9,566,775.41/3,547.77
  6. Step 6: Final answer
    x = 2,696.56

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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.