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Finding the Fourth Proportional to 5,272.32, 7,895.52 and 4,342.08

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Solution

The fourth proportional to 5,272.32, 7,895.52 and 4,342.08 is: 6,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.32 : 7,895.52 = 4,342.08 : x
  2. Step 2: Convert to fraction form
    5,272.32/7,895.52 = 4,342.08/x
  3. Step 3: Cross multiply
    5,272.32x = 7,895.52 × 4,342.08
  4. Step 4: Simplify right side
    5,272.32x = 34,282,979.48
  5. Step 5: Solve for x
    x = 34,282,979.48/5,272.32
  6. Step 6: Final answer
    x = 6,502.45

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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.