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Finding the Fourth Proportional to 5,653.61, 7,793.00 and 4,456.65

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Solution

The fourth proportional to 5,653.61, 7,793.00 and 4,456.65 is: 6,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.61 : 7,793.00 = 4,456.65 : x
  2. Step 2: Convert to fraction form
    5,653.61/7,793.00 = 4,456.65/x
  3. Step 3: Cross multiply
    5,653.61x = 7,793.00 × 4,456.65
  4. Step 4: Simplify right side
    5,653.61x = 34,730,651.17
  5. Step 5: Solve for x
    x = 34,730,651.17/5,653.61
  6. Step 6: Final answer
    x = 6,143.10

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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.