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Finding the Fourth Proportional to 4,573.76, 6,827.50 and 4,020.14

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Solution

The fourth proportional to 4,573.76, 6,827.50 and 4,020.14 is: 6,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.76 : 6,827.50 = 4,020.14 : x
  2. Step 2: Convert to fraction form
    4,573.76/6,827.50 = 4,020.14/x
  3. Step 3: Cross multiply
    4,573.76x = 6,827.50 × 4,020.14
  4. Step 4: Simplify right side
    4,573.76x = 27,447,505.85
  5. Step 5: Solve for x
    x = 27,447,505.85/4,573.76
  6. Step 6: Final answer
    x = 6,001.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.