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Finding the Fourth Proportional to 4,768.51, 7,152.77 and 2,169.63

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Solution

The fourth proportional to 4,768.51, 7,152.77 and 2,169.63 is: 3,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.51 : 7,152.77 = 2,169.63 : x
  2. Step 2: Convert to fraction form
    4,768.51/7,152.77 = 2,169.63/x
  3. Step 3: Cross multiply
    4,768.51x = 7,152.77 × 2,169.63
  4. Step 4: Simplify right side
    4,768.51x = 15,518,864.38
  5. Step 5: Solve for x
    x = 15,518,864.38/4,768.51
  6. Step 6: Final answer
    x = 3,254.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.