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Finding the Fourth Proportional to 5,840.64, 8,762.31 and 1,680.71

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Solution

The fourth proportional to 5,840.64, 8,762.31 and 1,680.71 is: 2,521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.64 : 8,762.31 = 1,680.71 : x
  2. Step 2: Convert to fraction form
    5,840.64/8,762.31 = 1,680.71/x
  3. Step 3: Cross multiply
    5,840.64x = 8,762.31 × 1,680.71
  4. Step 4: Simplify right side
    5,840.64x = 14,726,858.23
  5. Step 5: Solve for x
    x = 14,726,858.23/5,840.64
  6. Step 6: Final answer
    x = 2,521.45

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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.