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Finding the Fourth Proportional to 3,485.12, 4,809.04 and 2,552

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Solution

The fourth proportional to 3,485.12, 4,809.04 and 2,552 is: 3,521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.12 : 4,809.04 = 2,552 : x
  2. Step 2: Convert to fraction form
    3,485.12/4,809.04 = 2,552/x
  3. Step 3: Cross multiply
    3,485.12x = 4,809.04 × 2,552
  4. Step 4: Simplify right side
    3,485.12x = 12,272,670.08
  5. Step 5: Solve for x
    x = 12,272,670.08/3,485.12
  6. Step 6: Final answer
    x = 3,521.45

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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.