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Finding the Fourth Proportional to 5,807.52, 8,009.07 and 4,319.16

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Solution

The fourth proportional to 5,807.52, 8,009.07 and 4,319.16 is: 5,956.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.52 : 8,009.07 = 4,319.16 : x
  2. Step 2: Convert to fraction form
    5,807.52/8,009.07 = 4,319.16/x
  3. Step 3: Cross multiply
    5,807.52x = 8,009.07 × 4,319.16
  4. Step 4: Simplify right side
    5,807.52x = 34,592,454.78
  5. Step 5: Solve for x
    x = 34,592,454.78/5,807.52
  6. Step 6: Final answer
    x = 5,956.49

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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.