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Finding the Fourth Proportional to 5,124.40, 7,685.64 and 3,070

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Solution

The fourth proportional to 5,124.40, 7,685.64 and 3,070 is: 4,604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.40 : 7,685.64 = 3,070 : x
  2. Step 2: Convert to fraction form
    5,124.40/7,685.64 = 3,070/x
  3. Step 3: Cross multiply
    5,124.40x = 7,685.64 × 3,070
  4. Step 4: Simplify right side
    5,124.40x = 23,594,914.80
  5. Step 5: Solve for x
    x = 23,594,914.80/5,124.40
  6. Step 6: Final answer
    x = 4,604.42

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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.