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Finding the Fourth Proportional to 4,306.58, 6,463.02 and 1,710.26

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Solution

The fourth proportional to 4,306.58, 6,463.02 and 1,710.26 is: 2,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.58 : 6,463.02 = 1,710.26 : x
  2. Step 2: Convert to fraction form
    4,306.58/6,463.02 = 1,710.26/x
  3. Step 3: Cross multiply
    4,306.58x = 6,463.02 × 1,710.26
  4. Step 4: Simplify right side
    4,306.58x = 11,053,444.59
  5. Step 5: Solve for x
    x = 11,053,444.59/4,306.58
  6. Step 6: Final answer
    x = 2,566.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.