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Finding the Fourth Proportional to 4,253.66, 5,870.13 and 2,365.40

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Solution

The fourth proportional to 4,253.66, 5,870.13 and 2,365.40 is: 3,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.66 : 5,870.13 = 2,365.40 : x
  2. Step 2: Convert to fraction form
    4,253.66/5,870.13 = 2,365.40/x
  3. Step 3: Cross multiply
    4,253.66x = 5,870.13 × 2,365.40
  4. Step 4: Simplify right side
    4,253.66x = 13,885,205.50
  5. Step 5: Solve for x
    x = 13,885,205.50/4,253.66
  6. Step 6: Final answer
    x = 3,264.30

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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.