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Finding the Fourth Proportional to 4,810, 7,177.78 and 4,291.60

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Solution

The fourth proportional to 4,810, 7,177.78 and 4,291.60 is: 6,404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810 : 7,177.78 = 4,291.60 : x
  2. Step 2: Convert to fraction form
    4,810/7,177.78 = 4,291.60/x
  3. Step 3: Cross multiply
    4,810x = 7,177.78 × 4,291.60
  4. Step 4: Simplify right side
    4,810x = 30,804,160.65
  5. Step 5: Solve for x
    x = 30,804,160.65/4,810
  6. Step 6: Final answer
    x = 6,404.19

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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.