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Finding the Fourth Proportional to 3,547.02, 4,894.57 and 2,054.46

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Solution

The fourth proportional to 3,547.02, 4,894.57 and 2,054.46 is: 2,834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.02 : 4,894.57 = 2,054.46 : x
  2. Step 2: Convert to fraction form
    3,547.02/4,894.57 = 2,054.46/x
  3. Step 3: Cross multiply
    3,547.02x = 4,894.57 × 2,054.46
  4. Step 4: Simplify right side
    3,547.02x = 10,055,698.28
  5. Step 5: Solve for x
    x = 10,055,698.28/3,547.02
  6. Step 6: Final answer
    x = 2,834.97

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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.