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Finding the Fourth Proportional to 3,870.63, 5,341.29 and 2,378.01

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Solution

The fourth proportional to 3,870.63, 5,341.29 and 2,378.01 is: 3,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.63 : 5,341.29 = 2,378.01 : x
  2. Step 2: Convert to fraction form
    3,870.63/5,341.29 = 2,378.01/x
  3. Step 3: Cross multiply
    3,870.63x = 5,341.29 × 2,378.01
  4. Step 4: Simplify right side
    3,870.63x = 12,701,641.03
  5. Step 5: Solve for x
    x = 12,701,641.03/3,870.63
  6. Step 6: Final answer
    x = 3,281.54

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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.