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Finding the Fourth Proportional to 5,859.14, 8,792.32 and 5,312.30

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Solution

The fourth proportional to 5,859.14, 8,792.32 and 5,312.30 is: 7,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.14 : 8,792.32 = 5,312.30 : x
  2. Step 2: Convert to fraction form
    5,859.14/8,792.32 = 5,312.30/x
  3. Step 3: Cross multiply
    5,859.14x = 8,792.32 × 5,312.30
  4. Step 4: Simplify right side
    5,859.14x = 46,707,441.54
  5. Step 5: Solve for x
    x = 46,707,441.54/5,859.14
  6. Step 6: Final answer
    x = 7,971.72

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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.