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Finding the Fourth Proportional to 4,309.34, 6,463.80 and 1,710.45

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Solution

The fourth proportional to 4,309.34, 6,463.80 and 1,710.45 is: 2,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.34 : 6,463.80 = 1,710.45 : x
  2. Step 2: Convert to fraction form
    4,309.34/6,463.80 = 1,710.45/x
  3. Step 3: Cross multiply
    4,309.34x = 6,463.80 × 1,710.45
  4. Step 4: Simplify right side
    4,309.34x = 11,056,006.71
  5. Step 5: Solve for x
    x = 11,056,006.71/4,309.34
  6. Step 6: Final answer
    x = 2,565.59

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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.