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Finding the Fourth Proportional to 4,677.51, 7,014.87 and 3,853.74

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Solution

The fourth proportional to 4,677.51, 7,014.87 and 3,853.74 is: 5,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.51 : 7,014.87 = 3,853.74 : x
  2. Step 2: Convert to fraction form
    4,677.51/7,014.87 = 3,853.74/x
  3. Step 3: Cross multiply
    4,677.51x = 7,014.87 × 3,853.74
  4. Step 4: Simplify right side
    4,677.51x = 27,033,485.11
  5. Step 5: Solve for x
    x = 27,033,485.11/4,677.51
  6. Step 6: Final answer
    x = 5,779.46

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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.