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Finding the Fourth Proportional to 4,752.64, 7,129.77 and 1,465.12

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Solution

The fourth proportional to 4,752.64, 7,129.77 and 1,465.12 is: 2,197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.64 : 7,129.77 = 1,465.12 : x
  2. Step 2: Convert to fraction form
    4,752.64/7,129.77 = 1,465.12/x
  3. Step 3: Cross multiply
    4,752.64x = 7,129.77 × 1,465.12
  4. Step 4: Simplify right side
    4,752.64x = 10,445,991.94
  5. Step 5: Solve for x
    x = 10,445,991.94/4,752.64
  6. Step 6: Final answer
    x = 2,197.93

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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.