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Finding the Fourth Proportional to 4,733.77, 6,528.77 and 4,542.40

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Solution

The fourth proportional to 4,733.77, 6,528.77 and 4,542.40 is: 6,264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.77 : 6,528.77 = 4,542.40 : x
  2. Step 2: Convert to fraction form
    4,733.77/6,528.77 = 4,542.40/x
  3. Step 3: Cross multiply
    4,733.77x = 6,528.77 × 4,542.40
  4. Step 4: Simplify right side
    4,733.77x = 29,656,262.14
  5. Step 5: Solve for x
    x = 29,656,262.14/4,733.77
  6. Step 6: Final answer
    x = 6,264.84

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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.