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Finding the Fourth Proportional to 3,075.77, 4,618.30 and 2,457.64

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Solution

The fourth proportional to 3,075.77, 4,618.30 and 2,457.64 is: 3,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.77 : 4,618.30 = 2,457.64 : x
  2. Step 2: Convert to fraction form
    3,075.77/4,618.30 = 2,457.64/x
  3. Step 3: Cross multiply
    3,075.77x = 4,618.30 × 2,457.64
  4. Step 4: Simplify right side
    3,075.77x = 11,350,118.81
  5. Step 5: Solve for x
    x = 11,350,118.81/3,075.77
  6. Step 6: Final answer
    x = 3,690.17

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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.