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Finding the Fourth Proportional to 4,742.50, 6,544.65 and 2,646.64

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Solution

The fourth proportional to 4,742.50, 6,544.65 and 2,646.64 is: 3,652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.50 : 6,544.65 = 2,646.64 : x
  2. Step 2: Convert to fraction form
    4,742.50/6,544.65 = 2,646.64/x
  3. Step 3: Cross multiply
    4,742.50x = 6,544.65 × 2,646.64
  4. Step 4: Simplify right side
    4,742.50x = 17,321,332.48
  5. Step 5: Solve for x
    x = 17,321,332.48/4,742.50
  6. Step 6: Final answer
    x = 3,652.36

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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.