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Finding the Fourth Proportional to 4,686.06, 7,030 and 1,399.08

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Solution

The fourth proportional to 4,686.06, 7,030 and 1,399.08 is: 2,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.06 : 7,030 = 1,399.08 : x
  2. Step 2: Convert to fraction form
    4,686.06/7,030 = 1,399.08/x
  3. Step 3: Cross multiply
    4,686.06x = 7,030 × 1,399.08
  4. Step 4: Simplify right side
    4,686.06x = 9,835,532.40
  5. Step 5: Solve for x
    x = 9,835,532.40/4,686.06
  6. Step 6: Final answer
    x = 2,098.89

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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.