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Finding the Fourth Proportional to 5,248.79, 7,848.86 and 4,065.38

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Solution

The fourth proportional to 5,248.79, 7,848.86 and 4,065.38 is: 6,079.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.79 : 7,848.86 = 4,065.38 : x
  2. Step 2: Convert to fraction form
    5,248.79/7,848.86 = 4,065.38/x
  3. Step 3: Cross multiply
    5,248.79x = 7,848.86 × 4,065.38
  4. Step 4: Simplify right side
    5,248.79x = 31,908,559.22
  5. Step 5: Solve for x
    x = 31,908,559.22/5,248.79
  6. Step 6: Final answer
    x = 6,079.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.