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Finding the Fourth Proportional to 5,927.20, 8,165.64 and 5,085.16

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Solution

The fourth proportional to 5,927.20, 8,165.64 and 5,085.16 is: 7,005.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.20 : 8,165.64 = 5,085.16 : x
  2. Step 2: Convert to fraction form
    5,927.20/8,165.64 = 5,085.16/x
  3. Step 3: Cross multiply
    5,927.20x = 8,165.64 × 5,085.16
  4. Step 4: Simplify right side
    5,927.20x = 41,523,585.90
  5. Step 5: Solve for x
    x = 41,523,585.90/5,927.20
  6. Step 6: Final answer
    x = 7,005.60

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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.