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Finding the Fourth Proportional to 3,870.71, 5,806.48 and 1,237.30

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Solution

The fourth proportional to 3,870.71, 5,806.48 and 1,237.30 is: 1,856.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.71 : 5,806.48 = 1,237.30 : x
  2. Step 2: Convert to fraction form
    3,870.71/5,806.48 = 1,237.30/x
  3. Step 3: Cross multiply
    3,870.71x = 5,806.48 × 1,237.30
  4. Step 4: Simplify right side
    3,870.71x = 7,184,328.67
  5. Step 5: Solve for x
    x = 7,184,328.67/3,870.71
  6. Step 6: Final answer
    x = 1,856.08

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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.