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Finding the Fourth Proportional to 5,047.52, 6,966.60 and 2,952.32

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Solution

The fourth proportional to 5,047.52, 6,966.60 and 2,952.32 is: 4,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.52 : 6,966.60 = 2,952.32 : x
  2. Step 2: Convert to fraction form
    5,047.52/6,966.60 = 2,952.32/x
  3. Step 3: Cross multiply
    5,047.52x = 6,966.60 × 2,952.32
  4. Step 4: Simplify right side
    5,047.52x = 20,567,632.51
  5. Step 5: Solve for x
    x = 20,567,632.51/5,047.52
  6. Step 6: Final answer
    x = 4,074.80

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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.