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Finding the Fourth Proportional to 5,848.56, 8,069.76 and 3,609.72

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Solution

The fourth proportional to 5,848.56, 8,069.76 and 3,609.72 is: 4,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.56 : 8,069.76 = 3,609.72 : x
  2. Step 2: Convert to fraction form
    5,848.56/8,069.76 = 3,609.72/x
  3. Step 3: Cross multiply
    5,848.56x = 8,069.76 × 3,609.72
  4. Step 4: Simplify right side
    5,848.56x = 29,129,574.07
  5. Step 5: Solve for x
    x = 29,129,574.07/5,848.56
  6. Step 6: Final answer
    x = 4,980.64

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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.