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Finding the Fourth Proportional to 5,627.36, 7,769.40 and 4,875.68

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Solution

The fourth proportional to 5,627.36, 7,769.40 and 4,875.68 is: 6,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.36 : 7,769.40 = 4,875.68 : x
  2. Step 2: Convert to fraction form
    5,627.36/7,769.40 = 4,875.68/x
  3. Step 3: Cross multiply
    5,627.36x = 7,769.40 × 4,875.68
  4. Step 4: Simplify right side
    5,627.36x = 37,881,108.19
  5. Step 5: Solve for x
    x = 37,881,108.19/5,627.36
  6. Step 6: Final answer
    x = 6,731.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.