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Finding the Fourth Proportional to 3,852.76, 5,316.78 and 3,014.32

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Solution

The fourth proportional to 3,852.76, 5,316.78 and 3,014.32 is: 4,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.76 : 5,316.78 = 3,014.32 : x
  2. Step 2: Convert to fraction form
    3,852.76/5,316.78 = 3,014.32/x
  3. Step 3: Cross multiply
    3,852.76x = 5,316.78 × 3,014.32
  4. Step 4: Simplify right side
    3,852.76x = 16,026,476.29
  5. Step 5: Solve for x
    x = 16,026,476.29/3,852.76
  6. Step 6: Final answer
    x = 4,159.74

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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.