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Finding the Fourth Proportional to 5,646.64, 8,475.21 and 2,875.38

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Solution

The fourth proportional to 5,646.64, 8,475.21 and 2,875.38 is: 4,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.64 : 8,475.21 = 2,875.38 : x
  2. Step 2: Convert to fraction form
    5,646.64/8,475.21 = 2,875.38/x
  3. Step 3: Cross multiply
    5,646.64x = 8,475.21 × 2,875.38
  4. Step 4: Simplify right side
    5,646.64x = 24,369,449.33
  5. Step 5: Solve for x
    x = 24,369,449.33/5,646.64
  6. Step 6: Final answer
    x = 4,315.74

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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.