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Finding the Fourth Proportional to 4,704.40, 6,484.64 and 3,708.10

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Solution

The fourth proportional to 4,704.40, 6,484.64 and 3,708.10 is: 5,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.40 : 6,484.64 = 3,708.10 : x
  2. Step 2: Convert to fraction form
    4,704.40/6,484.64 = 3,708.10/x
  3. Step 3: Cross multiply
    4,704.40x = 6,484.64 × 3,708.10
  4. Step 4: Simplify right side
    4,704.40x = 24,045,693.58
  5. Step 5: Solve for x
    x = 24,045,693.58/4,704.40
  6. Step 6: Final answer
    x = 5,111.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.