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Finding the Fourth Proportional to 4,547.40, 6,257.70 and 4,024.68

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Solution

The fourth proportional to 4,547.40, 6,257.70 and 4,024.68 is: 5,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.40 : 6,257.70 = 4,024.68 : x
  2. Step 2: Convert to fraction form
    4,547.40/6,257.70 = 4,024.68/x
  3. Step 3: Cross multiply
    4,547.40x = 6,257.70 × 4,024.68
  4. Step 4: Simplify right side
    4,547.40x = 25,185,240.04
  5. Step 5: Solve for x
    x = 25,185,240.04/4,547.40
  6. Step 6: Final answer
    x = 5,538.38

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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.