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Finding the Fourth Proportional to 4,704.66, 6,477.57 and 3,582

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Solution

The fourth proportional to 4,704.66, 6,477.57 and 3,582 is: 4,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.66 : 6,477.57 = 3,582 : x
  2. Step 2: Convert to fraction form
    4,704.66/6,477.57 = 3,582/x
  3. Step 3: Cross multiply
    4,704.66x = 6,477.57 × 3,582
  4. Step 4: Simplify right side
    4,704.66x = 23,202,655.74
  5. Step 5: Solve for x
    x = 23,202,655.74/4,704.66
  6. Step 6: Final answer
    x = 4,931.85

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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.