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Finding the Fourth Proportional to 3,038.74, 4,534.26 and 2,852.98

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Solution

The fourth proportional to 3,038.74, 4,534.26 and 2,852.98 is: 4,257.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.74 : 4,534.26 = 2,852.98 : x
  2. Step 2: Convert to fraction form
    3,038.74/4,534.26 = 2,852.98/x
  3. Step 3: Cross multiply
    3,038.74x = 4,534.26 × 2,852.98
  4. Step 4: Simplify right side
    3,038.74x = 12,936,153.09
  5. Step 5: Solve for x
    x = 12,936,153.09/3,038.74
  6. Step 6: Final answer
    x = 4,257.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.