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Finding the Fourth Proportional to 5,984.32, 8,259.35 and 4,565.33

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Solution

The fourth proportional to 5,984.32, 8,259.35 and 4,565.33 is: 6,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.32 : 8,259.35 = 4,565.33 : x
  2. Step 2: Convert to fraction form
    5,984.32/8,259.35 = 4,565.33/x
  3. Step 3: Cross multiply
    5,984.32x = 8,259.35 × 4,565.33
  4. Step 4: Simplify right side
    5,984.32x = 37,706,625.18
  5. Step 5: Solve for x
    x = 37,706,625.18/5,984.32
  6. Step 6: Final answer
    x = 6,300.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.