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Finding the Fourth Proportional to 4,823.94, 7,237.08 and 1,902.36

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Solution

The fourth proportional to 4,823.94, 7,237.08 and 1,902.36 is: 2,854.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.94 : 7,237.08 = 1,902.36 : x
  2. Step 2: Convert to fraction form
    4,823.94/7,237.08 = 1,902.36/x
  3. Step 3: Cross multiply
    4,823.94x = 7,237.08 × 1,902.36
  4. Step 4: Simplify right side
    4,823.94x = 13,767,531.51
  5. Step 5: Solve for x
    x = 13,767,531.51/4,823.94
  6. Step 6: Final answer
    x = 2,854.00

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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.