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Finding the Fourth Proportional to 4,660.07, 6,430.96 and 2,564.19

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Solution

The fourth proportional to 4,660.07, 6,430.96 and 2,564.19 is: 3,538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.07 : 6,430.96 = 2,564.19 : x
  2. Step 2: Convert to fraction form
    4,660.07/6,430.96 = 2,564.19/x
  3. Step 3: Cross multiply
    4,660.07x = 6,430.96 × 2,564.19
  4. Step 4: Simplify right side
    4,660.07x = 16,490,203.32
  5. Step 5: Solve for x
    x = 16,490,203.32/4,660.07
  6. Step 6: Final answer
    x = 3,538.62

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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.