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Finding the Fourth Proportional to 4,688.93, 6,470.65 and 2,564.41

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Solution

The fourth proportional to 4,688.93, 6,470.65 and 2,564.41 is: 3,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.93 : 6,470.65 = 2,564.41 : x
  2. Step 2: Convert to fraction form
    4,688.93/6,470.65 = 2,564.41/x
  3. Step 3: Cross multiply
    4,688.93x = 6,470.65 × 2,564.41
  4. Step 4: Simplify right side
    4,688.93x = 16,593,415.74
  5. Step 5: Solve for x
    x = 16,593,415.74/4,688.93
  6. Step 6: Final answer
    x = 3,538.85

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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.