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Finding the Fourth Proportional to 5,244.16, 7,859.76 and 4,596.16

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Solution

The fourth proportional to 5,244.16, 7,859.76 and 4,596.16 is: 6,888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.16 : 7,859.76 = 4,596.16 : x
  2. Step 2: Convert to fraction form
    5,244.16/7,859.76 = 4,596.16/x
  3. Step 3: Cross multiply
    5,244.16x = 7,859.76 × 4,596.16
  4. Step 4: Simplify right side
    5,244.16x = 36,124,714.52
  5. Step 5: Solve for x
    x = 36,124,714.52/5,244.16
  6. Step 6: Final answer
    x = 6,888.56

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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.