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Finding the Fourth Proportional to 4,752.90, 7,130.36 and 2,413.22

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Solution

The fourth proportional to 4,752.90, 7,130.36 and 2,413.22 is: 3,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.90 : 7,130.36 = 2,413.22 : x
  2. Step 2: Convert to fraction form
    4,752.90/7,130.36 = 2,413.22/x
  3. Step 3: Cross multiply
    4,752.90x = 7,130.36 × 2,413.22
  4. Step 4: Simplify right side
    4,752.90x = 17,207,097.74
  5. Step 5: Solve for x
    x = 17,207,097.74/4,752.90
  6. Step 6: Final answer
    x = 3,620.34

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1.5x scale

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.