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Finding the Fourth Proportional to 3,506.40, 5,248.80 and 2,880

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Solution

The fourth proportional to 3,506.40, 5,248.80 and 2,880 is: 4,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.40 : 5,248.80 = 2,880 : x
  2. Step 2: Convert to fraction form
    3,506.40/5,248.80 = 2,880/x
  3. Step 3: Cross multiply
    3,506.40x = 5,248.80 × 2,880
  4. Step 4: Simplify right side
    3,506.40x = 15,116,544
  5. Step 5: Solve for x
    x = 15,116,544/3,506.40
  6. Step 6: Final answer
    x = 4,311.13

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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.