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Finding the Fourth Proportional to 4,706.93, 6,495.65 and 2,582.57

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Solution

The fourth proportional to 4,706.93, 6,495.65 and 2,582.57 is: 3,563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.93 : 6,495.65 = 2,582.57 : x
  2. Step 2: Convert to fraction form
    4,706.93/6,495.65 = 2,582.57/x
  3. Step 3: Cross multiply
    4,706.93x = 6,495.65 × 2,582.57
  4. Step 4: Simplify right side
    4,706.93x = 16,775,470.82
  5. Step 5: Solve for x
    x = 16,775,470.82/4,706.93
  6. Step 6: Final answer
    x = 3,563.99

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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.