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Finding the Fourth Proportional to 4,659.86, 6,430.66 and 2,564

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Solution

The fourth proportional to 4,659.86, 6,430.66 and 2,564 is: 3,538.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.86 : 6,430.66 = 2,564 : x
  2. Step 2: Convert to fraction form
    4,659.86/6,430.66 = 2,564/x
  3. Step 3: Cross multiply
    4,659.86x = 6,430.66 × 2,564
  4. Step 4: Simplify right side
    4,659.86x = 16,488,212.24
  5. Step 5: Solve for x
    x = 16,488,212.24/4,659.86
  6. Step 6: Final answer
    x = 3,538.35

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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.