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Finding the Fourth Proportional to 4,866.58, 7,301.08 and 1,403.83

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Solution

The fourth proportional to 4,866.58, 7,301.08 and 1,403.83 is: 2,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.58 : 7,301.08 = 1,403.83 : x
  2. Step 2: Convert to fraction form
    4,866.58/7,301.08 = 1,403.83/x
  3. Step 3: Cross multiply
    4,866.58x = 7,301.08 × 1,403.83
  4. Step 4: Simplify right side
    4,866.58x = 10,249,460.39
  5. Step 5: Solve for x
    x = 10,249,460.39/4,866.58
  6. Step 6: Final answer
    x = 2,106.09

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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.