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Finding the Fourth Proportional to 5,783.96, 8,678.10 and 4,335.32

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Solution

The fourth proportional to 5,783.96, 8,678.10 and 4,335.32 is: 6,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.96 : 8,678.10 = 4,335.32 : x
  2. Step 2: Convert to fraction form
    5,783.96/8,678.10 = 4,335.32/x
  3. Step 3: Cross multiply
    5,783.96x = 8,678.10 × 4,335.32
  4. Step 4: Simplify right side
    5,783.96x = 37,622,340.49
  5. Step 5: Solve for x
    x = 37,622,340.49/5,783.96
  6. Step 6: Final answer
    x = 6,504.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.