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Finding the Fourth Proportional to 5,842.44, 8,798.03 and 4,210.47

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Solution

The fourth proportional to 5,842.44, 8,798.03 and 4,210.47 is: 6,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.44 : 8,798.03 = 4,210.47 : x
  2. Step 2: Convert to fraction form
    5,842.44/8,798.03 = 4,210.47/x
  3. Step 3: Cross multiply
    5,842.44x = 8,798.03 × 4,210.47
  4. Step 4: Simplify right side
    5,842.44x = 37,043,820.32
  5. Step 5: Solve for x
    x = 37,043,820.32/5,842.44
  6. Step 6: Final answer
    x = 6,340.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.