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Finding the Fourth Proportional to 5,683.68, 8,521.20 and 4,716

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Solution

The fourth proportional to 5,683.68, 8,521.20 and 4,716 is: 7,070.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.68 : 8,521.20 = 4,716 : x
  2. Step 2: Convert to fraction form
    5,683.68/8,521.20 = 4,716/x
  3. Step 3: Cross multiply
    5,683.68x = 8,521.20 × 4,716
  4. Step 4: Simplify right side
    5,683.68x = 40,185,979.20
  5. Step 5: Solve for x
    x = 40,185,979.20/5,683.68
  6. Step 6: Final answer
    x = 7,070.42

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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.