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Finding the Fourth Proportional to 4,973.69, 7,460.51 and 1,641.89

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Solution

The fourth proportional to 4,973.69, 7,460.51 and 1,641.89 is: 2,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.69 : 7,460.51 = 1,641.89 : x
  2. Step 2: Convert to fraction form
    4,973.69/7,460.51 = 1,641.89/x
  3. Step 3: Cross multiply
    4,973.69x = 7,460.51 × 1,641.89
  4. Step 4: Simplify right side
    4,973.69x = 12,249,347.21
  5. Step 5: Solve for x
    x = 12,249,347.21/4,973.69
  6. Step 6: Final answer
    x = 2,462.83

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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.