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Finding the Fourth Proportional to 3,475, 4,795.50 and 1,903.15

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Solution

The fourth proportional to 3,475, 4,795.50 and 1,903.15 is: 2,626.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475 : 4,795.50 = 1,903.15 : x
  2. Step 2: Convert to fraction form
    3,475/4,795.50 = 1,903.15/x
  3. Step 3: Cross multiply
    3,475x = 4,795.50 × 1,903.15
  4. Step 4: Simplify right side
    3,475x = 9,126,555.83
  5. Step 5: Solve for x
    x = 9,126,555.83/3,475
  6. Step 6: Final answer
    x = 2,626.35

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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.