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Finding the Fourth Proportional to 4,774.60, 7,164.51 and 1,853.02

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Solution

The fourth proportional to 4,774.60, 7,164.51 and 1,853.02 is: 2,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.60 : 7,164.51 = 1,853.02 : x
  2. Step 2: Convert to fraction form
    4,774.60/7,164.51 = 1,853.02/x
  3. Step 3: Cross multiply
    4,774.60x = 7,164.51 × 1,853.02
  4. Step 4: Simplify right side
    4,774.60x = 13,275,980.32
  5. Step 5: Solve for x
    x = 13,275,980.32/4,774.60
  6. Step 6: Final answer
    x = 2,780.54

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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.