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Finding the Fourth Proportional to 4,497.84, 6,712.66 and 4,381.20

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Solution

The fourth proportional to 4,497.84, 6,712.66 and 4,381.20 is: 6,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.84 : 6,712.66 = 4,381.20 : x
  2. Step 2: Convert to fraction form
    4,497.84/6,712.66 = 4,381.20/x
  3. Step 3: Cross multiply
    4,497.84x = 6,712.66 × 4,381.20
  4. Step 4: Simplify right side
    4,497.84x = 29,409,505.99
  5. Step 5: Solve for x
    x = 29,409,505.99/4,497.84
  6. Step 6: Final answer
    x = 6,538.58

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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.