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Finding the Fourth Proportional to 5,606.01, 8,410.32 and 1,710.41

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Solution

The fourth proportional to 5,606.01, 8,410.32 and 1,710.41 is: 2,566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.01 : 8,410.32 = 1,710.41 : x
  2. Step 2: Convert to fraction form
    5,606.01/8,410.32 = 1,710.41/x
  3. Step 3: Cross multiply
    5,606.01x = 8,410.32 × 1,710.41
  4. Step 4: Simplify right side
    5,606.01x = 14,385,095.43
  5. Step 5: Solve for x
    x = 14,385,095.43/5,606.01
  6. Step 6: Final answer
    x = 2,566.02

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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.