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Finding the Fourth Proportional to 5,004.60, 7,506.90 and 2,407.80

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Solution

The fourth proportional to 5,004.60, 7,506.90 and 2,407.80 is: 3,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004.60 : 7,506.90 = 2,407.80 : x
  2. Step 2: Convert to fraction form
    5,004.60/7,506.90 = 2,407.80/x
  3. Step 3: Cross multiply
    5,004.60x = 7,506.90 × 2,407.80
  4. Step 4: Simplify right side
    5,004.60x = 18,075,113.82
  5. Step 5: Solve for x
    x = 18,075,113.82/5,004.60
  6. Step 6: Final answer
    x = 3,611.70

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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.