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Finding the Fourth Proportional to 5,237.95, 7,856.93 and 2,465.93

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Solution

The fourth proportional to 5,237.95, 7,856.93 and 2,465.93 is: 3,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.95 : 7,856.93 = 2,465.93 : x
  2. Step 2: Convert to fraction form
    5,237.95/7,856.93 = 2,465.93/x
  3. Step 3: Cross multiply
    5,237.95x = 7,856.93 × 2,465.93
  4. Step 4: Simplify right side
    5,237.95x = 19,374,639.39
  5. Step 5: Solve for x
    x = 19,374,639.39/5,237.95
  6. Step 6: Final answer
    x = 3,698.90

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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.