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Finding the Fourth Proportional to 4,605.42, 6,875.30 and 4,443.42

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Solution

The fourth proportional to 4,605.42, 6,875.30 and 4,443.42 is: 6,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.42 : 6,875.30 = 4,443.42 : x
  2. Step 2: Convert to fraction form
    4,605.42/6,875.30 = 4,443.42/x
  3. Step 3: Cross multiply
    4,605.42x = 6,875.30 × 4,443.42
  4. Step 4: Simplify right side
    4,605.42x = 30,549,845.53
  5. Step 5: Solve for x
    x = 30,549,845.53/4,605.42
  6. Step 6: Final answer
    x = 6,633.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.