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Finding the Fourth Proportional to 4,707.26, 6,495.88 and 2,582.54

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Solution

The fourth proportional to 4,707.26, 6,495.88 and 2,582.54 is: 3,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.26 : 6,495.88 = 2,582.54 : x
  2. Step 2: Convert to fraction form
    4,707.26/6,495.88 = 2,582.54/x
  3. Step 3: Cross multiply
    4,707.26x = 6,495.88 × 2,582.54
  4. Step 4: Simplify right side
    4,707.26x = 16,775,831.00
  5. Step 5: Solve for x
    x = 16,775,831.00/4,707.26
  6. Step 6: Final answer
    x = 3,563.82

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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.