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Finding the Fourth Proportional to 5,560, 8,341.34 and 1,664.52

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Solution

The fourth proportional to 5,560, 8,341.34 and 1,664.52 is: 2,497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,560 : 8,341.34 = 1,664.52 : x
  2. Step 2: Convert to fraction form
    5,560/8,341.34 = 1,664.52/x
  3. Step 3: Cross multiply
    5,560x = 8,341.34 × 1,664.52
  4. Step 4: Simplify right side
    5,560x = 13,884,327.26
  5. Step 5: Solve for x
    x = 13,884,327.26/5,560
  6. Step 6: Final answer
    x = 2,497.18

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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.