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Finding the Fourth Proportional to 4,634.61, 6,953.06 and 3,527.47

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Solution

The fourth proportional to 4,634.61, 6,953.06 and 3,527.47 is: 5,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.61 : 6,953.06 = 3,527.47 : x
  2. Step 2: Convert to fraction form
    4,634.61/6,953.06 = 3,527.47/x
  3. Step 3: Cross multiply
    4,634.61x = 6,953.06 × 3,527.47
  4. Step 4: Simplify right side
    4,634.61x = 24,526,710.56
  5. Step 5: Solve for x
    x = 24,526,710.56/4,634.61
  6. Step 6: Final answer
    x = 5,292.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.