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Finding the Fourth Proportional to 5,440.47, 7,502.07 and 4,112.07

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Solution

The fourth proportional to 5,440.47, 7,502.07 and 4,112.07 is: 5,670.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440.47 : 7,502.07 = 4,112.07 : x
  2. Step 2: Convert to fraction form
    5,440.47/7,502.07 = 4,112.07/x
  3. Step 3: Cross multiply
    5,440.47x = 7,502.07 × 4,112.07
  4. Step 4: Simplify right side
    5,440.47x = 30,849,036.98
  5. Step 5: Solve for x
    x = 30,849,036.98/5,440.47
  6. Step 6: Final answer
    x = 5,670.29

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1.5x scale

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.