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Finding the Fourth Proportional to 3,764,506.40, 5,194,597.12 and 2,132,564.16

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Solution

The fourth proportional to 3,764,506.40, 5,194,597.12 and 2,132,564.16 is: 2,942,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764,506.40 : 5,194,597.12 = 2,132,564.16 : x
  2. Step 2: Convert to fraction form
    3,764,506.40/5,194,597.12 = 2,132,564.16/x
  3. Step 3: Cross multiply
    3,764,506.40x = 5,194,597.12 × 2,132,564.16
  4. Step 4: Simplify right side
    3,764,506.40x = 11,077,811,643,751.22
  5. Step 5: Solve for x
    x = 11,077,811,643,751.22/3,764,506.40
  6. Step 6: Final answer
    x = 2,942,699.64

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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.