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Finding the Fourth Proportional to 4,185.84, 5,776.98 and 2,507.22

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Solution

The fourth proportional to 4,185.84, 5,776.98 and 2,507.22 is: 3,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.84 : 5,776.98 = 2,507.22 : x
  2. Step 2: Convert to fraction form
    4,185.84/5,776.98 = 2,507.22/x
  3. Step 3: Cross multiply
    4,185.84x = 5,776.98 × 2,507.22
  4. Step 4: Simplify right side
    4,185.84x = 14,484,159.80
  5. Step 5: Solve for x
    x = 14,484,159.80/4,185.84
  6. Step 6: Final answer
    x = 3,460.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.