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Finding the Fourth Proportional to 5,784.61, 8,672.05 and 4,686.25

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Solution

The fourth proportional to 5,784.61, 8,672.05 and 4,686.25 is: 7,025.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.61 : 8,672.05 = 4,686.25 : x
  2. Step 2: Convert to fraction form
    5,784.61/8,672.05 = 4,686.25/x
  3. Step 3: Cross multiply
    5,784.61x = 8,672.05 × 4,686.25
  4. Step 4: Simplify right side
    5,784.61x = 40,639,394.31
  5. Step 5: Solve for x
    x = 40,639,394.31/5,784.61
  6. Step 6: Final answer
    x = 7,025.43

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1.5x scale

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.