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Finding the Fourth Proportional to 4,897.33, 6,752.63 and 3,406.52

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Solution

The fourth proportional to 4,897.33, 6,752.63 and 3,406.52 is: 4,697.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.33 : 6,752.63 = 3,406.52 : x
  2. Step 2: Convert to fraction form
    4,897.33/6,752.63 = 3,406.52/x
  3. Step 3: Cross multiply
    4,897.33x = 6,752.63 × 3,406.52
  4. Step 4: Simplify right side
    4,897.33x = 23,002,994.55
  5. Step 5: Solve for x
    x = 23,002,994.55/4,897.33
  6. Step 6: Final answer
    x = 4,697.05

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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.