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Finding the Fourth Proportional to 5,696.80, 8,535.63 and 4,045.16

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Solution

The fourth proportional to 5,696.80, 8,535.63 and 4,045.16 is: 6,060.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.80 : 8,535.63 = 4,045.16 : x
  2. Step 2: Convert to fraction form
    5,696.80/8,535.63 = 4,045.16/x
  3. Step 3: Cross multiply
    5,696.80x = 8,535.63 × 4,045.16
  4. Step 4: Simplify right side
    5,696.80x = 34,527,954.79
  5. Step 5: Solve for x
    x = 34,527,954.79/5,696.80
  6. Step 6: Final answer
    x = 6,060.94

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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.