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Finding the Fourth Proportional to 5,307.62, 7,300.16 and 4,257.38

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Solution

The fourth proportional to 5,307.62, 7,300.16 and 4,257.38 is: 5,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.62 : 7,300.16 = 4,257.38 : x
  2. Step 2: Convert to fraction form
    5,307.62/7,300.16 = 4,257.38/x
  3. Step 3: Cross multiply
    5,307.62x = 7,300.16 × 4,257.38
  4. Step 4: Simplify right side
    5,307.62x = 31,079,555.18
  5. Step 5: Solve for x
    x = 31,079,555.18/5,307.62
  6. Step 6: Final answer
    x = 5,855.65

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1.5x scale

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.