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Finding the Fourth Proportional to 3,955.04, 5,454 and 3,070.52

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Solution

The fourth proportional to 3,955.04, 5,454 and 3,070.52 is: 4,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.04 : 5,454 = 3,070.52 : x
  2. Step 2: Convert to fraction form
    3,955.04/5,454 = 3,070.52/x
  3. Step 3: Cross multiply
    3,955.04x = 5,454 × 3,070.52
  4. Step 4: Simplify right side
    3,955.04x = 16,746,616.08
  5. Step 5: Solve for x
    x = 16,746,616.08/3,955.04
  6. Step 6: Final answer
    x = 4,234.25

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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.