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Finding the Fourth Proportional to 3,875.67, 5,348.02 and 2,303.46

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Solution

The fourth proportional to 3,875.67, 5,348.02 and 2,303.46 is: 3,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.67 : 5,348.02 = 2,303.46 : x
  2. Step 2: Convert to fraction form
    3,875.67/5,348.02 = 2,303.46/x
  3. Step 3: Cross multiply
    3,875.67x = 5,348.02 × 2,303.46
  4. Step 4: Simplify right side
    3,875.67x = 12,318,950.15
  5. Step 5: Solve for x
    x = 12,318,950.15/3,875.67
  6. Step 6: Final answer
    x = 3,178.53

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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.