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Finding the Fourth Proportional to 4,219.76, 5,823.26 and 2,356.76

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Solution

The fourth proportional to 4,219.76, 5,823.26 and 2,356.76 is: 3,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.76 : 5,823.26 = 2,356.76 : x
  2. Step 2: Convert to fraction form
    4,219.76/5,823.26 = 2,356.76/x
  3. Step 3: Cross multiply
    4,219.76x = 5,823.26 × 2,356.76
  4. Step 4: Simplify right side
    4,219.76x = 13,724,026.24
  5. Step 5: Solve for x
    x = 13,724,026.24/4,219.76
  6. Step 6: Final answer
    x = 3,252.32

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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.