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Finding the Fourth Proportional to 4,852.83, 6,688.02 and 3,524.23

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Solution

The fourth proportional to 4,852.83, 6,688.02 and 3,524.23 is: 4,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.83 : 6,688.02 = 3,524.23 : x
  2. Step 2: Convert to fraction form
    4,852.83/6,688.02 = 3,524.23/x
  3. Step 3: Cross multiply
    4,852.83x = 6,688.02 × 3,524.23
  4. Step 4: Simplify right side
    4,852.83x = 23,570,117.22
  5. Step 5: Solve for x
    x = 23,570,117.22/4,852.83
  6. Step 6: Final answer
    x = 4,856.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.