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Finding the Fourth Proportional to 6,148.54, 8,483.93 and 3,459.38

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Solution

The fourth proportional to 6,148.54, 8,483.93 and 3,459.38 is: 4,773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.54 : 8,483.93 = 3,459.38 : x
  2. Step 2: Convert to fraction form
    6,148.54/8,483.93 = 3,459.38/x
  3. Step 3: Cross multiply
    6,148.54x = 8,483.93 × 3,459.38
  4. Step 4: Simplify right side
    6,148.54x = 29,349,157.58
  5. Step 5: Solve for x
    x = 29,349,157.58/6,148.54
  6. Step 6: Final answer
    x = 4,773.35

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Why These Related Problems?

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