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Finding the Fourth Proportional to 4,532.88, 6,764.88 and 4,416.24

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Solution

The fourth proportional to 4,532.88, 6,764.88 and 4,416.24 is: 6,590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.88 : 6,764.88 = 4,416.24 : x
  2. Step 2: Convert to fraction form
    4,532.88/6,764.88 = 4,416.24/x
  3. Step 3: Cross multiply
    4,532.88x = 6,764.88 × 4,416.24
  4. Step 4: Simplify right side
    4,532.88x = 29,875,333.65
  5. Step 5: Solve for x
    x = 29,875,333.65/4,532.88
  6. Step 6: Final answer
    x = 6,590.81

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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.