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Finding the Fourth Proportional to 4,547.80, 6,274.02 and 3,289.60

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Solution

The fourth proportional to 4,547.80, 6,274.02 and 3,289.60 is: 4,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.80 : 6,274.02 = 3,289.60 : x
  2. Step 2: Convert to fraction form
    4,547.80/6,274.02 = 3,289.60/x
  3. Step 3: Cross multiply
    4,547.80x = 6,274.02 × 3,289.60
  4. Step 4: Simplify right side
    4,547.80x = 20,639,016.19
  5. Step 5: Solve for x
    x = 20,639,016.19/4,547.80
  6. Step 6: Final answer
    x = 4,538.24

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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.