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Finding the Fourth Proportional to 5,756.48, 8,628.96 and 4,904

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Solution

The fourth proportional to 5,756.48, 8,628.96 and 4,904 is: 7,351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.48 : 8,628.96 = 4,904 : x
  2. Step 2: Convert to fraction form
    5,756.48/8,628.96 = 4,904/x
  3. Step 3: Cross multiply
    5,756.48x = 8,628.96 × 4,904
  4. Step 4: Simplify right side
    5,756.48x = 42,316,419.84
  5. Step 5: Solve for x
    x = 42,316,419.84/5,756.48
  6. Step 6: Final answer
    x = 7,351.09

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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.