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Finding the Fourth Proportional to 4,673.60, 7,011.86 and 1,386.71

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Solution

The fourth proportional to 4,673.60, 7,011.86 and 1,386.71 is: 2,080.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.60 : 7,011.86 = 1,386.71 : x
  2. Step 2: Convert to fraction form
    4,673.60/7,011.86 = 1,386.71/x
  3. Step 3: Cross multiply
    4,673.60x = 7,011.86 × 1,386.71
  4. Step 4: Simplify right side
    4,673.60x = 9,723,416.38
  5. Step 5: Solve for x
    x = 9,723,416.38/4,673.60
  6. Step 6: Final answer
    x = 2,080.50

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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.