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Finding the Fourth Proportional to 5,177.54, 7,143.44 and 4,678.58

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Solution

The fourth proportional to 5,177.54, 7,143.44 and 4,678.58 is: 6,455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.54 : 7,143.44 = 4,678.58 : x
  2. Step 2: Convert to fraction form
    5,177.54/7,143.44 = 4,678.58/x
  3. Step 3: Cross multiply
    5,177.54x = 7,143.44 × 4,678.58
  4. Step 4: Simplify right side
    5,177.54x = 33,421,155.52
  5. Step 5: Solve for x
    x = 33,421,155.52/5,177.54
  6. Step 6: Final answer
    x = 6,455.03

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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.