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Finding the Fourth Proportional to 5,253.07, 7,880.53 and 1,743.28

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Solution

The fourth proportional to 5,253.07, 7,880.53 and 1,743.28 is: 2,615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.07 : 7,880.53 = 1,743.28 : x
  2. Step 2: Convert to fraction form
    5,253.07/7,880.53 = 1,743.28/x
  3. Step 3: Cross multiply
    5,253.07x = 7,880.53 × 1,743.28
  4. Step 4: Simplify right side
    5,253.07x = 13,737,994.40
  5. Step 5: Solve for x
    x = 13,737,994.40/5,253.07
  6. Step 6: Final answer
    x = 2,615.23

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1.5x scale

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.