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Finding the Fourth Proportional to 4,117.32, 5,678.10 and 3,819.24

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Solution

The fourth proportional to 4,117.32, 5,678.10 and 3,819.24 is: 5,267.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.32 : 5,678.10 = 3,819.24 : x
  2. Step 2: Convert to fraction form
    4,117.32/5,678.10 = 3,819.24/x
  3. Step 3: Cross multiply
    4,117.32x = 5,678.10 × 3,819.24
  4. Step 4: Simplify right side
    4,117.32x = 21,686,026.64
  5. Step 5: Solve for x
    x = 21,686,026.64/4,117.32
  6. Step 6: Final answer
    x = 5,267.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.