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Finding the Fourth Proportional to 4,567.52, 6,851.16 and 1,280.64

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Solution

The fourth proportional to 4,567.52, 6,851.16 and 1,280.64 is: 1,920.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.52 : 6,851.16 = 1,280.64 : x
  2. Step 2: Convert to fraction form
    4,567.52/6,851.16 = 1,280.64/x
  3. Step 3: Cross multiply
    4,567.52x = 6,851.16 × 1,280.64
  4. Step 4: Simplify right side
    4,567.52x = 8,773,869.54
  5. Step 5: Solve for x
    x = 8,773,869.54/4,567.52
  6. Step 6: Final answer
    x = 1,920.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.