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Finding the Fourth Proportional to 4,897.14, 6,762.81 and 4,184.79

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Solution

The fourth proportional to 4,897.14, 6,762.81 and 4,184.79 is: 5,779.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.14 : 6,762.81 = 4,184.79 : x
  2. Step 2: Convert to fraction form
    4,897.14/6,762.81 = 4,184.79/x
  3. Step 3: Cross multiply
    4,897.14x = 6,762.81 × 4,184.79
  4. Step 4: Simplify right side
    4,897.14x = 28,300,905.85
  5. Step 5: Solve for x
    x = 28,300,905.85/4,897.14
  6. Step 6: Final answer
    x = 5,779.07

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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.