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Finding the Fourth Proportional to 5,106.60, 7,656.14 and 1,943.60

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Solution

The fourth proportional to 5,106.60, 7,656.14 and 1,943.60 is: 2,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.60 : 7,656.14 = 1,943.60 : x
  2. Step 2: Convert to fraction form
    5,106.60/7,656.14 = 1,943.60/x
  3. Step 3: Cross multiply
    5,106.60x = 7,656.14 × 1,943.60
  4. Step 4: Simplify right side
    5,106.60x = 14,880,425.71
  5. Step 5: Solve for x
    x = 14,880,425.71/5,106.60
  6. Step 6: Final answer
    x = 2,913.96

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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.