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Finding the Fourth Proportional to 5,160.68, 7,123.30 and 3,505.64

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Solution

The fourth proportional to 5,160.68, 7,123.30 and 3,505.64 is: 4,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.68 : 7,123.30 = 3,505.64 : x
  2. Step 2: Convert to fraction form
    5,160.68/7,123.30 = 3,505.64/x
  3. Step 3: Cross multiply
    5,160.68x = 7,123.30 × 3,505.64
  4. Step 4: Simplify right side
    5,160.68x = 24,971,725.41
  5. Step 5: Solve for x
    x = 24,971,725.41/5,160.68
  6. Step 6: Final answer
    x = 4,838.84

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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.