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Finding the Fourth Proportional to 3,547.94, 4,895.96 and 2,055.98

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Solution

The fourth proportional to 3,547.94, 4,895.96 and 2,055.98 is: 2,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.94 : 4,895.96 = 2,055.98 : x
  2. Step 2: Convert to fraction form
    3,547.94/4,895.96 = 2,055.98/x
  3. Step 3: Cross multiply
    3,547.94x = 4,895.96 × 2,055.98
  4. Step 4: Simplify right side
    3,547.94x = 10,065,995.84
  5. Step 5: Solve for x
    x = 10,065,995.84/3,547.94
  6. Step 6: Final answer
    x = 2,837.14

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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.