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Finding the Fourth Proportional to 6,148.59, 8,484 and 3,459.10

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Solution

The fourth proportional to 6,148.59, 8,484 and 3,459.10 is: 4,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.59 : 8,484 = 3,459.10 : x
  2. Step 2: Convert to fraction form
    6,148.59/8,484 = 3,459.10/x
  3. Step 3: Cross multiply
    6,148.59x = 8,484 × 3,459.10
  4. Step 4: Simplify right side
    6,148.59x = 29,347,004.40
  5. Step 5: Solve for x
    x = 29,347,004.40/6,148.59
  6. Step 6: Final answer
    x = 4,772.96

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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.