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Finding the Fourth Proportional to 4,764.33, 7,106.33 and 4,618.53

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Solution

The fourth proportional to 4,764.33, 7,106.33 and 4,618.53 is: 6,888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.33 : 7,106.33 = 4,618.53 : x
  2. Step 2: Convert to fraction form
    4,764.33/7,106.33 = 4,618.53/x
  3. Step 3: Cross multiply
    4,764.33x = 7,106.33 × 4,618.53
  4. Step 4: Simplify right side
    4,764.33x = 32,820,809.84
  5. Step 5: Solve for x
    x = 32,820,809.84/4,764.33
  6. Step 6: Final answer
    x = 6,888.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.