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Finding the Fourth Proportional to 5,752.56, 7,929.32 and 4,334.16

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Solution

The fourth proportional to 5,752.56, 7,929.32 and 4,334.16 is: 5,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.56 : 7,929.32 = 4,334.16 : x
  2. Step 2: Convert to fraction form
    5,752.56/7,929.32 = 4,334.16/x
  3. Step 3: Cross multiply
    5,752.56x = 7,929.32 × 4,334.16
  4. Step 4: Simplify right side
    5,752.56x = 34,366,941.57
  5. Step 5: Solve for x
    x = 34,366,941.57/5,752.56
  6. Step 6: Final answer
    x = 5,974.20

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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.