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Finding the Fourth Proportional to 5,103.60, 7,655.64 and 1,816.72

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Solution

The fourth proportional to 5,103.60, 7,655.64 and 1,816.72 is: 2,725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.60 : 7,655.64 = 1,816.72 : x
  2. Step 2: Convert to fraction form
    5,103.60/7,655.64 = 1,816.72/x
  3. Step 3: Cross multiply
    5,103.60x = 7,655.64 × 1,816.72
  4. Step 4: Simplify right side
    5,103.60x = 13,908,154.30
  5. Step 5: Solve for x
    x = 13,908,154.30/5,103.60
  6. Step 6: Final answer
    x = 2,725.17

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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.