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Finding the Fourth Proportional to 5,688.32, 7,852.02 and 3,331.22

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Solution

The fourth proportional to 5,688.32, 7,852.02 and 3,331.22 is: 4,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.32 : 7,852.02 = 3,331.22 : x
  2. Step 2: Convert to fraction form
    5,688.32/7,852.02 = 3,331.22/x
  3. Step 3: Cross multiply
    5,688.32x = 7,852.02 × 3,331.22
  4. Step 4: Simplify right side
    5,688.32x = 26,156,806.06
  5. Step 5: Solve for x
    x = 26,156,806.06/5,688.32
  6. Step 6: Final answer
    x = 4,598.34

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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.