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Finding the Fourth Proportional to 5,696.32, 8,543.46 and 1,535.38

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Solution

The fourth proportional to 5,696.32, 8,543.46 and 1,535.38 is: 2,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.32 : 8,543.46 = 1,535.38 : x
  2. Step 2: Convert to fraction form
    5,696.32/8,543.46 = 1,535.38/x
  3. Step 3: Cross multiply
    5,696.32x = 8,543.46 × 1,535.38
  4. Step 4: Simplify right side
    5,696.32x = 13,117,457.61
  5. Step 5: Solve for x
    x = 13,117,457.61/5,696.32
  6. Step 6: Final answer
    x = 2,302.80

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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.