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Finding the Fourth Proportional to 4,552.69, 6,829.65 and 1,590.69

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Solution

The fourth proportional to 4,552.69, 6,829.65 and 1,590.69 is: 2,386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.69 : 6,829.65 = 1,590.69 : x
  2. Step 2: Convert to fraction form
    4,552.69/6,829.65 = 1,590.69/x
  3. Step 3: Cross multiply
    4,552.69x = 6,829.65 × 1,590.69
  4. Step 4: Simplify right side
    4,552.69x = 10,863,883.02
  5. Step 5: Solve for x
    x = 10,863,883.02/4,552.69
  6. Step 6: Final answer
    x = 2,386.25

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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.