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Finding the Fourth Proportional to 5,270.48, 7,907.40 and 4,456.40

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Solution

The fourth proportional to 5,270.48, 7,907.40 and 4,456.40 is: 6,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.48 : 7,907.40 = 4,456.40 : x
  2. Step 2: Convert to fraction form
    5,270.48/7,907.40 = 4,456.40/x
  3. Step 3: Cross multiply
    5,270.48x = 7,907.40 × 4,456.40
  4. Step 4: Simplify right side
    5,270.48x = 35,238,537.36
  5. Step 5: Solve for x
    x = 35,238,537.36/5,270.48
  6. Step 6: Final answer
    x = 6,686.02

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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.