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Finding the Fourth Proportional to 6,557.88, 9,047.82 and 3,904.44

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Solution

The fourth proportional to 6,557.88, 9,047.82 and 3,904.44 is: 5,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.88 : 9,047.82 = 3,904.44 : x
  2. Step 2: Convert to fraction form
    6,557.88/9,047.82 = 3,904.44/x
  3. Step 3: Cross multiply
    6,557.88x = 9,047.82 × 3,904.44
  4. Step 4: Simplify right side
    6,557.88x = 35,326,670.32
  5. Step 5: Solve for x
    x = 35,326,670.32/6,557.88
  6. Step 6: Final answer
    x = 5,386.90

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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.