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Finding the Fourth Proportional to 4,253.12, 5,869.30 and 2,364.65

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Solution

The fourth proportional to 4,253.12, 5,869.30 and 2,364.65 is: 3,263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.12 : 5,869.30 = 2,364.65 : x
  2. Step 2: Convert to fraction form
    4,253.12/5,869.30 = 2,364.65/x
  3. Step 3: Cross multiply
    4,253.12x = 5,869.30 × 2,364.65
  4. Step 4: Simplify right side
    4,253.12x = 13,878,840.25
  5. Step 5: Solve for x
    x = 13,878,840.25/4,253.12
  6. Step 6: Final answer
    x = 3,263.21

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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.