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Finding the Fourth Proportional to 4,700, 7,049.72 and 1,413.02

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Solution

The fourth proportional to 4,700, 7,049.72 and 1,413.02 is: 2,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700 : 7,049.72 = 1,413.02 : x
  2. Step 2: Convert to fraction form
    4,700/7,049.72 = 1,413.02/x
  3. Step 3: Cross multiply
    4,700x = 7,049.72 × 1,413.02
  4. Step 4: Simplify right side
    4,700x = 9,961,395.35
  5. Step 5: Solve for x
    x = 9,961,395.35/4,700
  6. Step 6: Final answer
    x = 2,119.45

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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.