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Finding the Fourth Proportional to 4,650.69, 6,416.35 and 2,660.52

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Solution

The fourth proportional to 4,650.69, 6,416.35 and 2,660.52 is: 3,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.69 : 6,416.35 = 2,660.52 : x
  2. Step 2: Convert to fraction form
    4,650.69/6,416.35 = 2,660.52/x
  3. Step 3: Cross multiply
    4,650.69x = 6,416.35 × 2,660.52
  4. Step 4: Simplify right side
    4,650.69x = 17,070,827.50
  5. Step 5: Solve for x
    x = 17,070,827.50/4,650.69
  6. Step 6: Final answer
    x = 3,670.60

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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.