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Finding the Fourth Proportional to 4,760.40, 6,555.84 and 4,658.64

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Solution

The fourth proportional to 4,760.40, 6,555.84 and 4,658.64 is: 6,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.40 : 6,555.84 = 4,658.64 : x
  2. Step 2: Convert to fraction form
    4,760.40/6,555.84 = 4,658.64/x
  3. Step 3: Cross multiply
    4,760.40x = 6,555.84 × 4,658.64
  4. Step 4: Simplify right side
    4,760.40x = 30,541,298.46
  5. Step 5: Solve for x
    x = 30,541,298.46/4,760.40
  6. Step 6: Final answer
    x = 6,415.70

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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.