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Finding the Fourth Proportional to 5,125.40, 7,688.10 and 4,477.40

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Solution

The fourth proportional to 5,125.40, 7,688.10 and 4,477.40 is: 6,716.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.40 : 7,688.10 = 4,477.40 : x
  2. Step 2: Convert to fraction form
    5,125.40/7,688.10 = 4,477.40/x
  3. Step 3: Cross multiply
    5,125.40x = 7,688.10 × 4,477.40
  4. Step 4: Simplify right side
    5,125.40x = 34,422,698.94
  5. Step 5: Solve for x
    x = 34,422,698.94/5,125.40
  6. Step 6: Final answer
    x = 6,716.10

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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.