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Finding the Fourth Proportional to 4,695.60, 7,035.30 and 3,051.30

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Solution

The fourth proportional to 4,695.60, 7,035.30 and 3,051.30 is: 4,571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.60 : 7,035.30 = 3,051.30 : x
  2. Step 2: Convert to fraction form
    4,695.60/7,035.30 = 3,051.30/x
  3. Step 3: Cross multiply
    4,695.60x = 7,035.30 × 3,051.30
  4. Step 4: Simplify right side
    4,695.60x = 21,466,810.89
  5. Step 5: Solve for x
    x = 21,466,810.89/4,695.60
  6. Step 6: Final answer
    x = 4,571.69

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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.