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Finding the Fourth Proportional to 3,477.76, 5,177.60 and 3,460.48

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Solution

The fourth proportional to 3,477.76, 5,177.60 and 3,460.48 is: 5,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.76 : 5,177.60 = 3,460.48 : x
  2. Step 2: Convert to fraction form
    3,477.76/5,177.60 = 3,460.48/x
  3. Step 3: Cross multiply
    3,477.76x = 5,177.60 × 3,460.48
  4. Step 4: Simplify right side
    3,477.76x = 17,916,981.25
  5. Step 5: Solve for x
    x = 17,916,981.25/3,477.76
  6. Step 6: Final answer
    x = 5,151.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.