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Finding the Fourth Proportional to 4,064.88, 6,095.57 and 1,564.56

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Solution

The fourth proportional to 4,064.88, 6,095.57 and 1,564.56 is: 2,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.88 : 6,095.57 = 1,564.56 : x
  2. Step 2: Convert to fraction form
    4,064.88/6,095.57 = 1,564.56/x
  3. Step 3: Cross multiply
    4,064.88x = 6,095.57 × 1,564.56
  4. Step 4: Simplify right side
    4,064.88x = 9,536,885.00
  5. Step 5: Solve for x
    x = 9,536,885.00/4,064.88
  6. Step 6: Final answer
    x = 2,346.17

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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.