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Finding the Fourth Proportional to 4,904.80, 7,348.80 and 2,302.40

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Solution

The fourth proportional to 4,904.80, 7,348.80 and 2,302.40 is: 3,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.80 : 7,348.80 = 2,302.40 : x
  2. Step 2: Convert to fraction form
    4,904.80/7,348.80 = 2,302.40/x
  3. Step 3: Cross multiply
    4,904.80x = 7,348.80 × 2,302.40
  4. Step 4: Simplify right side
    4,904.80x = 16,919,877.12
  5. Step 5: Solve for x
    x = 16,919,877.12/4,904.80
  6. Step 6: Final answer
    x = 3,449.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.