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Finding the Fourth Proportional to 4,861.83, 7,291.22 and 1,574.16

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Solution

The fourth proportional to 4,861.83, 7,291.22 and 1,574.16 is: 2,360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.83 : 7,291.22 = 1,574.16 : x
  2. Step 2: Convert to fraction form
    4,861.83/7,291.22 = 1,574.16/x
  3. Step 3: Cross multiply
    4,861.83x = 7,291.22 × 1,574.16
  4. Step 4: Simplify right side
    4,861.83x = 11,477,539.00
  5. Step 5: Solve for x
    x = 11,477,539.00/4,861.83
  6. Step 6: Final answer
    x = 2,360.74

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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.