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Finding the Fourth Proportional to 4,677.47, 7,016.21 and 1,390.59

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Solution

The fourth proportional to 4,677.47, 7,016.21 and 1,390.59 is: 2,085.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.47 : 7,016.21 = 1,390.59 : x
  2. Step 2: Convert to fraction form
    4,677.47/7,016.21 = 1,390.59/x
  3. Step 3: Cross multiply
    4,677.47x = 7,016.21 × 1,390.59
  4. Step 4: Simplify right side
    4,677.47x = 9,756,664.51
  5. Step 5: Solve for x
    x = 9,756,664.51/4,677.47
  6. Step 6: Final answer
    x = 2,085.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.