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Finding the Fourth Proportional to 4,547.97, 6,820.47 and 1,469.25

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Solution

The fourth proportional to 4,547.97, 6,820.47 and 1,469.25 is: 2,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.97 : 6,820.47 = 1,469.25 : x
  2. Step 2: Convert to fraction form
    4,547.97/6,820.47 = 1,469.25/x
  3. Step 3: Cross multiply
    4,547.97x = 6,820.47 × 1,469.25
  4. Step 4: Simplify right side
    4,547.97x = 10,020,975.55
  5. Step 5: Solve for x
    x = 10,020,975.55/4,547.97
  6. Step 6: Final answer
    x = 2,203.40

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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.