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Finding the Fourth Proportional to 5,984.36, 8,261.86 and 4,655.16

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Solution

The fourth proportional to 5,984.36, 8,261.86 and 4,655.16 is: 6,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.36 : 8,261.86 = 4,655.16 : x
  2. Step 2: Convert to fraction form
    5,984.36/8,261.86 = 4,655.16/x
  3. Step 3: Cross multiply
    5,984.36x = 8,261.86 × 4,655.16
  4. Step 4: Simplify right side
    5,984.36x = 38,460,280.20
  5. Step 5: Solve for x
    x = 38,460,280.20/5,984.36
  6. Step 6: Final answer
    x = 6,426.80

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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.