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Finding the Fourth Proportional to 5,042.40, 6,955.44 and 3,547.68

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Solution

The fourth proportional to 5,042.40, 6,955.44 and 3,547.68 is: 4,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.40 : 6,955.44 = 3,547.68 : x
  2. Step 2: Convert to fraction form
    5,042.40/6,955.44 = 3,547.68/x
  3. Step 3: Cross multiply
    5,042.40x = 6,955.44 × 3,547.68
  4. Step 4: Simplify right side
    5,042.40x = 24,675,675.38
  5. Step 5: Solve for x
    x = 24,675,675.38/5,042.40
  6. Step 6: Final answer
    x = 4,893.64

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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.