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Finding the Fourth Proportional to 5,461.87, 7,529.74 and 4,619.18

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Solution

The fourth proportional to 5,461.87, 7,529.74 and 4,619.18 is: 6,368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.87 : 7,529.74 = 4,619.18 : x
  2. Step 2: Convert to fraction form
    5,461.87/7,529.74 = 4,619.18/x
  3. Step 3: Cross multiply
    5,461.87x = 7,529.74 × 4,619.18
  4. Step 4: Simplify right side
    5,461.87x = 34,781,224.41
  5. Step 5: Solve for x
    x = 34,781,224.41/5,461.87
  6. Step 6: Final answer
    x = 6,368.01

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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.