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Finding the Fourth Proportional to 3,774.86, 5,210.22 and 2,283.76

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Solution

The fourth proportional to 3,774.86, 5,210.22 and 2,283.76 is: 3,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.86 : 5,210.22 = 2,283.76 : x
  2. Step 2: Convert to fraction form
    3,774.86/5,210.22 = 2,283.76/x
  3. Step 3: Cross multiply
    3,774.86x = 5,210.22 × 2,283.76
  4. Step 4: Simplify right side
    3,774.86x = 11,898,892.03
  5. Step 5: Solve for x
    x = 11,898,892.03/3,774.86
  6. Step 6: Final answer
    x = 3,152.14

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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.