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Finding the Fourth Proportional to 5,802.12, 7,999.86 and 5,053.32

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Solution

The fourth proportional to 5,802.12, 7,999.86 and 5,053.32 is: 6,967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.12 : 7,999.86 = 5,053.32 : x
  2. Step 2: Convert to fraction form
    5,802.12/7,999.86 = 5,053.32/x
  3. Step 3: Cross multiply
    5,802.12x = 7,999.86 × 5,053.32
  4. Step 4: Simplify right side
    5,802.12x = 40,425,852.54
  5. Step 5: Solve for x
    x = 40,425,852.54/5,802.12
  6. Step 6: Final answer
    x = 6,967.43

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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.