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Finding the Fourth Proportional to 4,315.70, 5,955.84 and 2,547.30

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Solution

The fourth proportional to 4,315.70, 5,955.84 and 2,547.30 is: 3,515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.70 : 5,955.84 = 2,547.30 : x
  2. Step 2: Convert to fraction form
    4,315.70/5,955.84 = 2,547.30/x
  3. Step 3: Cross multiply
    4,315.70x = 5,955.84 × 2,547.30
  4. Step 4: Simplify right side
    4,315.70x = 15,171,311.23
  5. Step 5: Solve for x
    x = 15,171,311.23/4,315.70
  6. Step 6: Final answer
    x = 3,515.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.