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Finding the Fourth Proportional to 4,570.81, 6,849.02 and 3,533.35

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Solution

The fourth proportional to 4,570.81, 6,849.02 and 3,533.35 is: 5,294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.81 : 6,849.02 = 3,533.35 : x
  2. Step 2: Convert to fraction form
    4,570.81/6,849.02 = 3,533.35/x
  3. Step 3: Cross multiply
    4,570.81x = 6,849.02 × 3,533.35
  4. Step 4: Simplify right side
    4,570.81x = 24,199,984.82
  5. Step 5: Solve for x
    x = 24,199,984.82/4,570.81
  6. Step 6: Final answer
    x = 5,294.46

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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.