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Finding the Fourth Proportional to 4,688.10, 7,032.15 and 4,659.30

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Solution

The fourth proportional to 4,688.10, 7,032.15 and 4,659.30 is: 6,988.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.10 : 7,032.15 = 4,659.30 : x
  2. Step 2: Convert to fraction form
    4,688.10/7,032.15 = 4,659.30/x
  3. Step 3: Cross multiply
    4,688.10x = 7,032.15 × 4,659.30
  4. Step 4: Simplify right side
    4,688.10x = 32,764,896.50
  5. Step 5: Solve for x
    x = 32,764,896.50/4,688.10
  6. Step 6: Final answer
    x = 6,988.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.