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Finding the Fourth Proportional to 4,713.28, 6,509.52 and 3,663.76

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Solution

The fourth proportional to 4,713.28, 6,509.52 and 3,663.76 is: 5,060.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.28 : 6,509.52 = 3,663.76 : x
  2. Step 2: Convert to fraction form
    4,713.28/6,509.52 = 3,663.76/x
  3. Step 3: Cross multiply
    4,713.28x = 6,509.52 × 3,663.76
  4. Step 4: Simplify right side
    4,713.28x = 23,849,319.00
  5. Step 5: Solve for x
    x = 23,849,319.00/4,713.28
  6. Step 6: Final answer
    x = 5,060.03

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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.