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Finding the Fourth Proportional to 4,660.10, 6,430.41 and 2,670.11

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Solution

The fourth proportional to 4,660.10, 6,430.41 and 2,670.11 is: 3,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.10 : 6,430.41 = 2,670.11 : x
  2. Step 2: Convert to fraction form
    4,660.10/6,430.41 = 2,670.11/x
  3. Step 3: Cross multiply
    4,660.10x = 6,430.41 × 2,670.11
  4. Step 4: Simplify right side
    4,660.10x = 17,169,869.89
  5. Step 5: Solve for x
    x = 17,169,869.89/4,660.10
  6. Step 6: Final answer
    x = 3,684.45

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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.