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Finding the Fourth Proportional to 6,470.48, 8,929.05 and 3,637.77

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Solution

The fourth proportional to 6,470.48, 8,929.05 and 3,637.77 is: 5,020.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.48 : 8,929.05 = 3,637.77 : x
  2. Step 2: Convert to fraction form
    6,470.48/8,929.05 = 3,637.77/x
  3. Step 3: Cross multiply
    6,470.48x = 8,929.05 × 3,637.77
  4. Step 4: Simplify right side
    6,470.48x = 32,481,830.22
  5. Step 5: Solve for x
    x = 32,481,830.22/6,470.48
  6. Step 6: Final answer
    x = 5,020.01

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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.