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Finding the Fourth Proportional to 5,823.81, 8,693.43 and 5,390.15

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Solution

The fourth proportional to 5,823.81, 8,693.43 and 5,390.15 is: 8,046.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.81 : 8,693.43 = 5,390.15 : x
  2. Step 2: Convert to fraction form
    5,823.81/8,693.43 = 5,390.15/x
  3. Step 3: Cross multiply
    5,823.81x = 8,693.43 × 5,390.15
  4. Step 4: Simplify right side
    5,823.81x = 46,858,828.03
  5. Step 5: Solve for x
    x = 46,858,828.03/5,823.81
  6. Step 6: Final answer
    x = 8,046.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.