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Finding the Fourth Proportional to 4,253.64, 5,870.39 and 2,365.59

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Solution

The fourth proportional to 4,253.64, 5,870.39 and 2,365.59 is: 3,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.64 : 5,870.39 = 2,365.59 : x
  2. Step 2: Convert to fraction form
    4,253.64/5,870.39 = 2,365.59/x
  3. Step 3: Cross multiply
    4,253.64x = 5,870.39 × 2,365.59
  4. Step 4: Simplify right side
    4,253.64x = 13,886,924.05
  5. Step 5: Solve for x
    x = 13,886,924.05/4,253.64
  6. Step 6: Final answer
    x = 3,264.72

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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.