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Finding the Fourth Proportional to 4,804.88, 7,208.58 and 2,030

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Solution

The fourth proportional to 4,804.88, 7,208.58 and 2,030 is: 3,045.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.88 : 7,208.58 = 2,030 : x
  2. Step 2: Convert to fraction form
    4,804.88/7,208.58 = 2,030/x
  3. Step 3: Cross multiply
    4,804.88x = 7,208.58 × 2,030
  4. Step 4: Simplify right side
    4,804.88x = 14,633,417.40
  5. Step 5: Solve for x
    x = 14,633,417.40/4,804.88
  6. Step 6: Final answer
    x = 3,045.53

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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.