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Finding the Fourth Proportional to 4,842.02, 7,265.79 and 4,030.13

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Solution

The fourth proportional to 4,842.02, 7,265.79 and 4,030.13 is: 6,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.02 : 7,265.79 = 4,030.13 : x
  2. Step 2: Convert to fraction form
    4,842.02/7,265.79 = 4,030.13/x
  3. Step 3: Cross multiply
    4,842.02x = 7,265.79 × 4,030.13
  4. Step 4: Simplify right side
    4,842.02x = 29,282,041.92
  5. Step 5: Solve for x
    x = 29,282,041.92/4,842.02
  6. Step 6: Final answer
    x = 6,047.49

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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.